1978236450 has 288 divisors, whose sum is σ = 6003700560. Its totient is φ = 464486400.

The previous prime is 1978236427. The next prime is 1978236473. The reversal of 1978236450 is 546328791.

1978236450 is a `hidden beast` number, since 1 + 97 + 82 + 36 + 450 = 666.

1978236450 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1978236450 is a nontrivial binomial coefficient, being equal to C(62901, 2).

It is an interprime number because it is at equal distance from previous prime (1978236427) and next prime (1978236473).

It can be written as a sum of positive squares in 24 ways, for example, as 268992801 + 1709243649 = 16401^2 + 41343^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

1978236450 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1978236396 and 1978236405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8208330 + ... + 8208570.

It is a 1-persistent number, because it is pandigital, but 2⋅1978236450 = 3956472900 is not.

Almost surely, 2^1978236450 is an apocalyptic number.

1978236450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1978236450 is the 62900-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1978236450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001850280).

1978236450 is an abundant number, since it is smaller than the sum of its proper divisors (4025464110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1978236450 is a wasteful number, since it uses less digits than its factorization.

1978236450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1978236450 is about 44477.3700886192. The cubic root of 1978236450 is about 1255.3343130356.

The spelling of 1978236450 in words is "one billion, nine hundred seventy-eight million, two hundred thirty-six thousand, four hundred fifty".