456234688 has 252 divisors, whose sum is σ = 1235610432. Its totient is φ = 165473280.

The previous prime is 456234683. The next prime is 456234697. The reversal of 456234688 is 886432654.

Its product of digits (1105920) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (456234683) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 14717233 + ... + 14717263.

It is an arithmetic number, because the mean of its divisors is an integer number (4903216).

Almost surely, 2^456234688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456234688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617805216).

456234688 is an abundant number, since it is smaller than the sum of its proper divisors (779375744).

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

456234688 is a wasteful number, since it uses less digits than its factorization.

456234688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The square root of 456234688 is about 21359.6509334774. The cubic root of 456234688 is about 769.8322499585.

The spelling of 456234688 in words is "four hundred fifty-six million, two hundred thirty-four thousand, six hundred eighty-eight".