363974400 has 324 divisors, whose sum is σ = 1334445840. Its totient is φ = 94617600.

The previous prime is 363974357. The next prime is 363974411. The reversal of 363974400 is 4479363.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4089556 + ... + 4089644.

It is an arithmetic number, because the mean of its divisors is an integer number (4118660).

Almost surely, 2^363974400 is an apocalyptic number.

363974400 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 363974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667222920).

363974400 is an abundant number, since it is smaller than the sum of its proper divisors (970471440).

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

363974400 is a wasteful number, since it uses less digits than its factorization.

363974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 363974400 is about 19078.1131142469. The cubic root of 363974400 is about 713.9869592515.

The spelling of 363974400 in words is "three hundred sixty-three million, nine hundred seventy-four thousand, four hundred".