390654820 has 48 divisors (see below), whose sum is σ = 873331200. Its totient is φ = 146361600.

The previous prime is 390654811. The next prime is 390654833. The reversal of 390654820 is 28456093.

It is a super-2 number, since 2×390654820² = 305222376778464800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 390654820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28045 + ... + 39595.

It is an arithmetic number, because the mean of its divisors is an integer number (18194400).

Almost surely, 2^390654820 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 390654820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436665600).

390654820 is an abundant number, since it is smaller than the sum of its proper divisors (482676380).

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

390654820 is a wasteful number, since it uses less digits than its factorization.

390654820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 11666 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 390654820 is about 19764.9897546141. The cubic root of 390654820 is about 731.0230355111.

The spelling of 390654820 in words is "three hundred ninety million, six hundred fifty-four thousand, eight hundred twenty".