390868475400 has 384 divisors, whose sum is σ = 1452807014400. Its totient is φ = 96020121600.

The previous prime is 390868475363. The next prime is 390868475423. The reversal of 390868475400 is 4574868093.

390868475400 is a `hidden beast` number, since 3 + 90 + 8 + 6 + 8 + 4 + 7 + 540 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36568857 + ... + 36579543.

It is an arithmetic number, because the mean of its divisors is an integer number (3783351600).

Almost surely, 2^390868475400 is an apocalyptic number.

390868475400 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 390868475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726403507200).

390868475400 is an abundant number, since it is smaller than the sum of its proper divisors (1061938539000).

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

390868475400 is a wasteful number, since it uses less digits than its factorization.

390868475400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 390868475400 in words is "three hundred ninety billion, eight hundred sixty-eight million, four hundred seventy-five thousand, four hundred".