390474418752 has 504 divisors, whose sum is σ = 1344733318656. Its totient is φ = 107762688000.

The previous prime is 390474418729. The next prime is 390474418757. The reversal of 390474418752 is 257814474093.

390474418752 is a `hidden beast` number, since 3 + 9 + 0 + 474 + 41 + 87 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (390474418757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36724477 + ... + 36735107.

It is an arithmetic number, because the mean of its divisors is an integer number (2668121664).

Almost surely, 2^390474418752 is an apocalyptic number.

390474418752 is a gapful number since it is divisible by the number (32) 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 390474418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672366659328).

390474418752 is an abundant number, since it is smaller than the sum of its proper divisors (954258899904).

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

390474418752 is a wasteful number, since it uses less digits than its factorization.

390474418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 390474418752 in words is "three hundred ninety billion, four hundred seventy-four million, four hundred eighteen thousand, seven hundred fifty-two".