390909216 has 96 divisors (see below), whose sum is σ = 1056863808. Its totient is φ = 126443520.

The previous prime is 390909193. The next prime is 390909221. The reversal of 390909216 is 612909093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1159800 + ... + 1160136.

It is an arithmetic number, because the mean of its divisors is an integer number (11008998).

Almost surely, 2^390909216 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 390909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528431904).

390909216 is an abundant number, since it is smaller than the sum of its proper divisors (665954592).

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

390909216 is a wasteful number, since it uses less digits than its factorization.

390909216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 390909216 is about 19771.4242279103. The cubic root of 390909216 is about 731.1816827987.

The spelling of 390909216 in words is "three hundred ninety million, nine hundred nine thousand, two hundred sixteen".