390457033920 has 336 divisors, whose sum is σ = 1353229338240. Its totient is φ = 103332446208.

The previous prime is 390457033919. The next prime is 390457033951. The reversal of 390457033920 is 29330754093.

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, 399648472 + ... + 399649448.

Almost surely, 2^390457033920 is an apocalyptic number.

390457033920 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 390457033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676614669120).

390457033920 is an abundant number, since it is smaller than the sum of its proper divisors (962772304320).

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

390457033920 is a wasteful number, since it uses less digits than its factorization.

390457033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 390457033920 in words is "three hundred ninety billion, four hundred fifty-seven million, thirty-three thousand, nine hundred twenty".