456903636 has 72 divisors (see below), whose sum is σ = 1243118016. Its totient is φ = 130233600.

The previous prime is 456903617. The next prime is 456903641. The reversal of 456903636 is 636309654.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379836 + ... + 381036.

It is an arithmetic number, because the mean of its divisors is an integer number (17265528).

Almost surely, 2^456903636 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 456903636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621559008).

456903636 is an abundant number, since it is smaller than the sum of its proper divisors (786214380).

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

456903636 is a wasteful number, since it uses less digits than its factorization.

456903636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 456903636 is about 21375.3043487105. The cubic root of 456903636 is about 770.2083182915.

The spelling of 456903636 in words is "four hundred fifty-six million, nine hundred three thousand, six hundred thirty-six".