398760220800 has 360 divisors, whose sum is σ = 1446582312825. Its totient is φ = 104592844800.

The previous prime is 398760220783. The next prime is 398760220841. The reversal of 398760220800 is 8022067893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

398760220800 is a `hidden beast` number, since 39 + 8 + 7 + 602 + 2 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 379643287104 + 19116933696 = 616152^2 + 138264^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=446520.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6537052770 + ... + 6537052830.

Almost surely, 2^398760220800 is an apocalyptic number.

398760220800 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 398760220800

398760220800 is an abundant number, since it is smaller than the sum of its proper divisors (1047822092025).

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

398760220800 is an frugal number, since it uses more digits than its factorization.

398760220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 398760220800 in words is "three hundred ninety-eight billion, seven hundred sixty million, two hundred twenty thousand, eight hundred".