456311232 has 336 divisors, whose sum is σ = 1524784352. Its totient is φ = 134369280.

The previous prime is 456311231. The next prime is 456311267. The reversal of 456311232 is 232113654.

456311232 is a `hidden beast` number, since 4 + 5 + 631 + 1 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 456311196 and 456311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456311231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7480482 + ... + 7480542.

Almost surely, 2^456311232 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 456311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762392176).

456311232 is an abundant number, since it is smaller than the sum of its proper divisors (1068473120).

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

456311232 is a wasteful number, since it uses less digits than its factorization.

456311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 456311232 is about 21361.4426479112. The cubic root of 456311232 is about 769.8752999838.

Adding to 456311232 its reverse (232113654), we get a palindrome (688424886).

The spelling of 456311232 in words is "four hundred fifty-six million, three hundred eleven thousand, two hundred thirty-two".