390654560 has 192 divisors, whose sum is σ = 1042481664. Its totient is φ = 137625600.

The previous prime is 390654559. The next prime is 390654569. The reversal of 390654560 is 65456093.

It is a super-2 number, since 2×390654560² = 305221970497587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390654569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3457064 + ... + 3457176.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^390654560 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 390654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521240832).

390654560 is an abundant number, since it is smaller than the sum of its proper divisors (651827104).

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

390654560 is a wasteful number, since it uses less digits than its factorization.

390654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 390654560 is about 19764.9831773265. The cubic root of 390654560 is about 731.0228733338.

The spelling of 390654560 in words is "three hundred ninety million, six hundred fifty-four thousand, five hundred sixty".