359672544 has 288 divisors, whose sum is σ = 1305158400. Its totient is φ = 93139200.

The previous prime is 359672507. The next prime is 359672563. The reversal of 359672544 is 445276953.

359672544 is a `hidden beast` number, since 3 + 596 + 7 + 2 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 359672544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086459 + ... + 1086789.

It is an arithmetic number, because the mean of its divisors is an integer number (4531800).

Almost surely, 2^359672544 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 359672544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652579200).

359672544 is an abundant number, since it is smaller than the sum of its proper divisors (945485856).

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

359672544 is a wasteful number, since it uses less digits than its factorization.

359672544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 359672544 is about 18965.0347745529. The cubic root of 359672544 is about 711.1629054577.

The spelling of 359672544 in words is "three hundred fifty-nine million, six hundred seventy-two thousand, five hundred forty-four".