390897564760 has 128 divisors (see below), whose sum is σ = 939444480000. Its totient is φ = 145955796480.

The previous prime is 390897564709. The next prime is 390897564767. The reversal of 390897564760 is 67465798093.

It is a happy number.

It is a super-2 number, since 2×390897564760² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 390897564692 and 390897564701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390897564767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30553965 + ... + 30566755.

It is an arithmetic number, because the mean of its divisors is an integer number (7339410000).

Almost surely, 2^390897564760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390897564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469722240000).

390897564760 is an abundant number, since it is smaller than the sum of its proper divisors (548546915240).

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

390897564760 is a wasteful number, since it uses less digits than its factorization.

390897564760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13409 (or 13405 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 390897564760 in words is "three hundred ninety billion, eight hundred ninety-seven million, five hundred sixty-four thousand, seven hundred sixty".