363825904 has 60 divisors (see below), whose sum is σ = 768305736. Its totient is φ = 166822656.

The previous prime is 363825883. The next prime is 363825911. The reversal of 363825904 is 409528363.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532347 + ... + 533029.

Almost surely, 2^363825904 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 363825904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384152868).

363825904 is an abundant number, since it is smaller than the sum of its proper divisors (404479832).

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

363825904 is a wasteful number, since it uses less digits than its factorization.

363825904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 363825904 is about 19074.2209277339. The cubic root of 363825904 is about 713.8898474496.

The spelling of 363825904 in words is "three hundred sixty-three million, eight hundred twenty-five thousand, nine hundred four".