359674560 has 448 divisors, whose sum is σ = 1531315200. Its totient is φ = 77635584.

The previous prime is 359674519. The next prime is 359674571. The reversal of 359674560 is 65476953.

359674560 is a `hidden beast` number, since 3 + 596 + 7 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×359674560² = 258731578222387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148964 + ... + 1149276.

Almost surely, 2^359674560 is an apocalyptic number.

359674560 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 359674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765657600).

359674560 is an abundant number, since it is smaller than the sum of its proper divisors (1171640640).

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

359674560 is a wasteful number, since it uses less digits than its factorization.

359674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 359674560 is about 18965.0879249214. The cubic root of 359674560 is about 711.1642341680.

The spelling of 359674560 in words is "three hundred fifty-nine million, six hundred seventy-four thousand, five hundred sixty".