363504960 has 672 divisors, whose sum is σ = 1642018560. Its totient is φ = 71663616.

The previous prime is 363504943. The next prime is 363504971. The reversal of 363504960 is 69405363.

363504960 is a `hidden beast` number, since 3 + 63 + 504 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979484 + ... + 4979556.

It is an arithmetic number, because the mean of its divisors is an integer number (2443480).

Almost surely, 2^363504960 is an apocalyptic number.

363504960 is a gapful number since it is divisible by the number (30) 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 363504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821009280).

363504960 is an abundant number, since it is smaller than the sum of its proper divisors (1278513600).

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

363504960 is a wasteful number, since it uses less digits than its factorization.

363504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 363504960 is about 19065.8060411827. The cubic root of 363504960 is about 713.6798696690.

The spelling of 363504960 in words is "three hundred sixty-three million, five hundred four thousand, nine hundred sixty".