456020838 has 96 divisors (see below), whose sum is σ = 1223040000. Its totient is φ = 119579328.

The previous prime is 456020797. The next prime is 456020863. The reversal of 456020838 is 838020654.

456020838 is a `hidden beast` number, since 45 + 602 + 0 + 8 + 3 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325263 + ... + 326661.

It is an arithmetic number, because the mean of its divisors is an integer number (12740000).

Almost surely, 2^456020838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456020838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520000).

456020838 is an abundant number, since it is smaller than the sum of its proper divisors (767019162).

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

456020838 is a wasteful number, since it uses less digits than its factorization.

456020838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 456020838 is about 21354.6444128672. The cubic root of 456020838 is about 769.7119505017.

The spelling of 456020838 in words is "four hundred fifty-six million, twenty thousand, eight hundred thirty-eight".