363504456 has 128 divisors (see below), whose sum is σ = 1181030400. Its totient is φ = 101424960.

The previous prime is 363504431. The next prime is 363504461. The reversal of 363504456 is 654405363.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363504456.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62221 + ... + 67811.

It is an arithmetic number, because the mean of its divisors is an integer number (9226800).

Almost surely, 2^363504456 is an apocalyptic number.

363504456 is a gapful number since it is divisible by the number (36) 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 363504456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590515200).

363504456 is an abundant number, since it is smaller than the sum of its proper divisors (817525944).

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

363504456 is a wasteful number, since it uses less digits than its factorization.

363504456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 363504456 is about 19065.7928237983. The cubic root of 363504456 is about 713.6795398295.

The spelling of 363504456 in words is "three hundred sixty-three million, five hundred four thousand, four hundred fifty-six".