1283796450 has 72 divisors (see below), whose sum is σ = 3454127508. Its totient is φ = 341850240.

The previous prime is 1283796407. The next prime is 1283796473. The reversal of 1283796450 is 546973821.

1283796450 is a `hidden beast` number, since 128 + 3 + 79 + 6 + 450 = 666.

1283796450 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1106294121 + 177502329 = 33261^2 + 13323^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

1283796450 is strictly pandigital in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1283796396 and 1283796405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 393024 + ... + 396276.

It is a 1-persistent number, because it is pandigital, but 2⋅1283796450 = 2567592900 is not.

It is a vampire number, since it can be written as 26310 ⋅ 48795 (with its own digits).

Almost surely, 2^1283796450 is an apocalyptic number.

1283796450 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 1283796450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727063754).

1283796450 is an abundant number, since it is smaller than the sum of its proper divisors (2170331058).

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

1283796450 is a wasteful number, since it uses less digits than its factorization.

1283796450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4140 counting only the distinct ones).

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

The square root of 1283796450 is about 35830.1053584831. The cubic root of 1283796450 is about 1086.8394403085.

The spelling of 1283796450 in words is "one billion, two hundred eighty-three million, seven hundred ninety-six thousand, four hundred fifty".