456981828 has 36 divisors (see below), whose sum is σ = 1132712112. Its totient is φ = 143365760.

The previous prime is 456981827. The next prime is 456981829. The reversal of 456981828 is 828189654.

It is an interprime number because it is at equal distance from previous prime (456981827) and next prime (456981829).

It is a super-2 number, since 2×456981828² = 417664782244443168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (456981827) 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 11 ways as a sum of consecutive naturals, for example, 62418 + ... + 69353.

Almost surely, 2^456981828 is an apocalyptic number.

It is an amenable number.

456981828 is an abundant number, since it is smaller than the sum of its proper divisors (675730284).

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

456981828 is a wasteful number, since it uses less digits than its factorization.

456981828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131812 (or 131793 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 456981828 is about 21377.1332970537. The cubic root of 456981828 is about 770.2522522044.

The spelling of 456981828 in words is "four hundred fifty-six million, nine hundred eighty-one thousand, eight hundred twenty-eight".