456284928 has 72 divisors (see below), whose sum is σ = 1324806336. Its totient is φ = 138265600.

The previous prime is 456284923. The next prime is 456284929. The reversal of 456284928 is 829482654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (456284923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18558 + ... + 35453.

It is an arithmetic number, because the mean of its divisors is an integer number (18400088).

Almost surely, 2^456284928 is an apocalyptic number.

456284928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456284928 is an abundant number, since it is smaller than the sum of its proper divisors (868521408).

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

456284928 is a wasteful number, since it uses less digits than its factorization.

456284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54041 (or 54027 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 456284928 is about 21360.8269502845. The cubic root of 456284928 is about 769.8605065800.

The spelling of 456284928 in words is "four hundred fifty-six million, two hundred eighty-four thousand, nine hundred twenty-eight".