360113472 has 112 divisors (see below), whose sum is σ = 1063955200. Its totient is φ = 119439360.

The previous prime is 360113471. The next prime is 360113497. The reversal of 360113472 is 274311063.

360113472 is a `hidden beast` number, since 3 + 601 + 13 + 47 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360113471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467904 + ... + 468672.

It is an arithmetic number, because the mean of its divisors is an integer number (9499600).

Almost surely, 2^360113472 is an apocalyptic number.

360113472 is a gapful number since it is divisible by the number (32) 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 360113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531977600).

360113472 is an abundant number, since it is smaller than the sum of its proper divisors (703841728).

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

360113472 is a wasteful number, since it uses less digits than its factorization.

360113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 360113472 is about 18976.6559751712. The cubic root of 360113472 is about 711.4533952311.

The spelling of 360113472 in words is "three hundred sixty million, one hundred thirteen thousand, four hundred seventy-two".