390409100 has 36 divisors (see below), whose sum is σ = 852122544. Its totient is φ = 155254080.

The previous prime is 390409079. The next prime is 390409109. The reversal of 390409100 is 1904093.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 390409100.

It is not an unprimeable number, because it can be changed into a prime (390409109) 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, 6017 + ... + 28583.

Almost surely, 2^390409100 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 390409100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426061272).

390409100 is an abundant number, since it is smaller than the sum of its proper divisors (461713444).

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

390409100 is a wasteful number, since it uses less digits than its factorization.

390409100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22754 (or 22747 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 390409100 is about 19758.7727351675. The cubic root of 390409100 is about 730.8697333752.

The spelling of 390409100 in words is "three hundred ninety million, four hundred nine thousand, one hundred".