390463680 has 112 divisors (see below), whose sum is σ = 1305031680. Its totient is φ = 98638848.

The previous prime is 390463669. The next prime is 390463681. The reversal of 390463680 is 86364093.

It is not an unprimeable number, because it can be changed into a prime (390463681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7537 + ... + 28943.

Almost surely, 2^390463680 is an apocalyptic number.

390463680 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 390463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652515840).

390463680 is an abundant number, since it is smaller than the sum of its proper divisors (914568000).

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

390463680 is a wasteful number, since it uses less digits than its factorization.

390463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 21436 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 390463680 is about 19760.1538455549. The cubic root of 390463680 is about 730.9037908218.

The spelling of 390463680 in words is "three hundred ninety million, four hundred sixty-three thousand, six hundred eighty".