368910464400 has 405 divisors, whose sum is σ = 1311700023907. Its totient is φ = 96014630400.

The previous prime is 368910464387. The next prime is 368910464423. The reversal of 368910464400 is 4464019863.

The square root of 368910464400 is 607380.

It is a perfect power (a square), and thus also a powerful number.

368910464400 is a `hidden beast` number, since 3 + 6 + 89 + 104 + 64 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2778976656 + 366131487744 = 52716^2 + 605088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1931468305 + ... + 1931468495.

Almost surely, 2^368910464400 is an apocalyptic number.

368910464400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

368910464400 is the 607380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368910464400

368910464400 is an abundant number, since it is smaller than the sum of its proper divisors (942789559507).

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

368910464400 is a wasteful number, since it uses less digits than its factorization.

368910464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 368910464400 in words is "three hundred sixty-eight billion, nine hundred ten million, four hundred sixty-four thousand, four hundred".