390856057020 has 288 divisors, whose sum is σ = 1444459161600. Its totient is φ = 87464136960.

The previous prime is 390856056911. The next prime is 390856057021. The reversal of 390856057020 is 20750658093.

It is a happy number.

390856057020 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 56 + 0 + 570 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390856057021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413781 + ... + 976179.

It is an arithmetic number, because the mean of its divisors is an integer number (5015483200).

Almost surely, 2^390856057020 is an apocalyptic number.

390856057020 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 390856057020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722229580800).

390856057020 is an abundant number, since it is smaller than the sum of its proper divisors (1053603104580).

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

390856057020 is a wasteful number, since it uses less digits than its factorization.

390856057020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562447 (or 562433 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 390856057020 in words is "three hundred ninety billion, eight hundred fifty-six million, fifty-seven thousand, twenty".