363249504 has 72 divisors (see below), whose sum is σ = 1058220072. Its totient is φ = 118126080.

The previous prime is 363249503. The next prime is 363249527. The reversal of 363249504 is 405942363.

363249504 is a `hidden beast` number, since 363 + 249 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (363249503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3574 + ... + 27189.

It is an arithmetic number, because the mean of its divisors is an integer number (14697501).

Almost surely, 2^363249504 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 363249504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529110036).

363249504 is an abundant number, since it is smaller than the sum of its proper divisors (694970568).

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

363249504 is a wasteful number, since it uses less digits than its factorization.

363249504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30820 (or 30809 counting only the distinct ones).

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

The square root of 363249504 is about 19059.1055403972. The cubic root of 363249504 is about 713.5126490906.

The spelling of 363249504 in words is "three hundred sixty-three million, two hundred forty-nine thousand, five hundred four".