1960749450 has 288 divisors, whose sum is σ = 6143267520. Its totient is φ = 456019200.

The previous prime is 1960749409. The next prime is 1960749457. The reversal of 1960749450 is 549470691.

1960749450 is a `hidden beast` number, since 196 + 0 + 7 + 4 + 9 + 450 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1960749396 and 1960749405.

It is not an unprimeable number, because it can be changed into a prime (1960749457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12488772 + ... + 12488928.

It is an arithmetic number, because the mean of its divisors is an integer number (21330790).

Almost surely, 2^1960749450 is an apocalyptic number.

1960749450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960749450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071633760).

1960749450 is an abundant number, since it is smaller than the sum of its proper divisors (4182518070).

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

1960749450 is a wasteful number, since it uses less digits than its factorization.

1960749450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1960749450 is about 44280.3506083680. The cubic root of 1960749450 is about 1251.6244373814.

The spelling of 1960749450 in words is "one billion, nine hundred sixty million, seven hundred forty-nine thousand, four hundred fifty".