388794470400 has 624 divisors, whose sum is σ = 1632407324800. Its totient is φ = 88862883840.

The previous prime is 388794470399. The next prime is 388794470431. The reversal of 388794470400 is 4074497883.

388794470400 is a `hidden beast` number, since 3 + 8 + 87 + 94 + 4 + 70 + 400 = 666.

It is a super-2 number, since 2×388794470400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19343556 + ... + 19363644.

Almost surely, 2^388794470400 is an apocalyptic number.

388794470400 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 388794470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816203662400).

388794470400 is an abundant number, since it is smaller than the sum of its proper divisors (1243612854400).

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

388794470400 is a wasteful number, since it uses less digits than its factorization.

388794470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20139 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 388794470400 in words is "three hundred eighty-eight billion, seven hundred ninety-four million, four hundred seventy thousand, four hundred".