363560400 has 450 divisors, whose sum is σ = 1524443910. Its totient is φ = 82736640.

The previous prime is 363560387. The next prime is 363560411. The reversal of 363560400 is 4065363.

363560400 is a `hidden beast` number, since 3 + 63 + 560 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 86936976 + 276623424 = 9324^2 + 16632^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587486 + ... + 1587714.

Almost surely, 2^363560400 is an apocalyptic number.

363560400 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 363560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762221955).

363560400 is an abundant number, since it is smaller than the sum of its proper divisors (1160883510).

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

363560400 is a wasteful number, since it uses less digits than its factorization.

363560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 363560400 is about 19067.2598975312. The cubic root of 363560400 is about 713.7161501466.

The spelling of 363560400 in words is "three hundred sixty-three million, five hundred sixty thousand, four hundred".