390424320 has 576 divisors, whose sum is σ = 1648281600. Its totient is φ = 86261760.

The previous prime is 390424319. The next prime is 390424351. The reversal of 390424320 is 23424093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×390424320² = 304862299294924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4942041 + ... + 4942119.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2^390424320 is an apocalyptic number.

390424320 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 390424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824140800).

390424320 is an abundant number, since it is smaller than the sum of its proper divisors (1257857280).

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

390424320 is a wasteful number, since it uses less digits than its factorization.

390424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 390424320 is about 19759.1578767922. The cubic root of 390424320 is about 730.8792308423.

It can be divided in two parts, 3904 and 24320, that added together give a square (28224 = 168²).

The spelling of 390424320 in words is "three hundred ninety million, four hundred twenty-four thousand, three hundred twenty".