456038688 has 144 divisors (see below), whose sum is σ = 1440996480. Its totient is φ = 125766144.

The previous prime is 456038663. The next prime is 456038699. The reversal of 456038688 is 886830654.

It is a super-2 number, since 2×456038688² = 415942569905522688, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134745 + ... + 138087.

It is an arithmetic number, because the mean of its divisors is an integer number (10006920).

Almost surely, 2^456038688 is an apocalyptic number.

456038688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456038688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720498240).

456038688 is an abundant number, since it is smaller than the sum of its proper divisors (984957792).

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

456038688 is a wasteful number, since it uses less digits than its factorization.

456038688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3384 counting only the distinct ones).

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

The square root of 456038688 is about 21355.0623506465. The cubic root of 456038688 is about 769.7219933023.

The spelling of 456038688 in words is "four hundred fifty-six million, thirty-eight thousand, six hundred eighty-eight".