390873254400 has 480 divisors, whose sum is σ = 1438927902720. Its totient is φ = 103925514240.

The previous prime is 390873254389. The next prime is 390873254419. The reversal of 390873254400 is 4452378093.

390873254400 is a `hidden beast` number, since 3 + 90 + 87 + 32 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 132363324 + ... + 132366276.

It is an arithmetic number, because the mean of its divisors is an integer number (2997766464).

Almost surely, 2^390873254400 is an apocalyptic number.

390873254400 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 390873254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719463951360).

390873254400 is an abundant number, since it is smaller than the sum of its proper divisors (1048054648320).

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

390873254400 is a wasteful number, since it uses less digits than its factorization.

390873254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 390873254400 in words is "three hundred ninety billion, eight hundred seventy-three million, two hundred fifty-four thousand, four hundred".