359904420 has 72 divisors (see below), whose sum is σ = 1126944000. Its totient is φ = 92877120.

The previous prime is 359904379. The next prime is 359904421. The reversal of 359904420 is 24409953.

359904420 is a `hidden beast` number, since 3 + 599 + 0 + 44 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (359904421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26670 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (15652000).

Almost surely, 2^359904420 is an apocalyptic number.

359904420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359904420 is an abundant number, since it is smaller than the sum of its proper divisors (767039580).

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

359904420 is a wasteful number, since it uses less digits than its factorization.

359904420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64545 (or 64540 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 359904420 is about 18971.1470396494. The cubic root of 359904420 is about 711.3156983140.

The spelling of 359904420 in words is "three hundred fifty-nine million, nine hundred four thousand, four hundred twenty".