456998352 has 40 divisors (see below), whose sum is σ = 1250027136. Its totient is φ = 143371776.

The previous prime is 456998303. The next prime is 456998363. The reversal of 456998352 is 253899654.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 456998295 and 456998304.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 279208 + ... + 280839.

Almost surely, 2^456998352 is an apocalyptic number.

It is an amenable number.

456998352 is an abundant number, since it is smaller than the sum of its proper divisors (793028784).

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

456998352 is a wasteful number, since it uses less digits than its factorization.

456998352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560075 (or 560069 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 456998352 is about 21377.5197813030. The cubic root of 456998352 is about 770.2615359396.

The spelling of 456998352 in words is "four hundred fifty-six million, nine hundred ninety-eight thousand, three hundred fifty-two".