456634332 has 216 divisors, whose sum is σ = 1485639792. Its totient is φ = 116928000.

The previous prime is 456634291. The next prime is 456634337. The reversal of 456634332 is 233436654.

It is a super-2 number, since 2×456634332² = 417029826322172448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456634337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1959688 + ... + 1959920.

It is an arithmetic number, because the mean of its divisors is an integer number (6877962).

Almost surely, 2^456634332 is an apocalyptic number.

456634332 is a gapful number since it is divisible by the number (42) 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 456634332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742819896).

456634332 is an abundant number, since it is smaller than the sum of its proper divisors (1029005460).

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

456634332 is a wasteful number, since it uses less digits than its factorization.

456634332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 456634332 is about 21369.0040011227. The cubic root of 456634332 is about 770.0569654825.

The spelling of 456634332 in words is "four hundred fifty-six million, six hundred thirty-four thousand, three hundred thirty-two".