390517456 has 60 divisors (see below), whose sum is σ = 901700100. Its totient is φ = 163269120.

The previous prime is 390517453. The next prime is 390517471. The reversal of 390517456 is 654715093.

It can be written as a sum of positive squares in 2 ways, for example, as 213627456 + 176890000 = 14616^2 + 13300^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390517453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26070 + ... + 38218.

It is an arithmetic number, because the mean of its divisors is an integer number (15028335).

Almost surely, 2^390517456 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 390517456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450850050).

390517456 is an abundant number, since it is smaller than the sum of its proper divisors (511182644).

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

390517456 is a wasteful number, since it uses less digits than its factorization.

390517456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 390517456 is about 19761.5145168583. The cubic root of 390517456 is about 730.9373434756.

The spelling of 390517456 in words is "three hundred ninety million, five hundred seventeen thousand, four hundred fifty-six".