359027424 has 384 divisors, whose sum is σ = 1306368000. Its totient is φ = 93671424.

The previous prime is 359027411. The next prime is 359027509. The reversal of 359027424 is 424720953.

359027424 is a `hidden beast` number, since 3 + 590 + 27 + 42 + 4 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4033972 + ... + 4034060.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^359027424 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 359027424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

359027424 is an abundant number, since it is smaller than the sum of its proper divisors (947340576).

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

359027424 is a wasteful number, since it uses less digits than its factorization.

359027424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 359027424 is about 18948.0189993572. The cubic root of 359027424 is about 710.7374629340.

The spelling of 359027424 in words is "three hundred fifty-nine million, twenty-seven thousand, four hundred twenty-four".