390609408 has 160 divisors (see below), whose sum is σ = 1259812224. Its totient is φ = 104988672.

The previous prime is 390609379. The next prime is 390609409. The reversal of 390609408 is 804906093.

It is a super-2 number, since 2×390609408² = 305151419236220928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390609409) 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, 181716 + ... + 183852.

Almost surely, 2^390609408 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 390609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629906112).

390609408 is an abundant number, since it is smaller than the sum of its proper divisors (869202816).

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

390609408 is a wasteful number, since it uses less digits than its factorization.

390609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 390609408 is about 19763.8409222499. The cubic root of 390609408 is about 730.9947082831.

The spelling of 390609408 in words is "three hundred ninety million, six hundred nine thousand, four hundred eight".