456613632 has 144 divisors (see below), whose sum is σ = 1394498560. Its totient is φ = 147225600.

The previous prime is 456613631. The next prime is 456613637. The reversal of 456613632 is 236316654.

456613632 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (456613631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213207 + ... + 215337.

Almost surely, 2^456613632 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 456613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697249280).

456613632 is an abundant number, since it is smaller than the sum of its proper divisors (937884928).

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

456613632 is a wasteful number, since it uses less digits than its factorization.

456613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2167 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 456613632 is about 21368.5196492410. The cubic root of 456613632 is about 770.0453293155.

The spelling of 456613632 in words is "four hundred fifty-six million, six hundred thirteen thousand, six hundred thirty-two".