360462960 has 400 divisors, whose sum is σ = 1474593120. Its totient is φ = 80455680.

The previous prime is 360462943. The next prime is 360462983. The reversal of 360462960 is 69264063.

360462960 is a `hidden beast` number, since 360 + 4 + 6 + 296 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926446 + ... + 926834.

Almost surely, 2^360462960 is an apocalyptic number.

360462960 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 360462960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).

360462960 is an abundant number, since it is smaller than the sum of its proper divisors (1114130160).

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

360462960 is a wasteful number, since it uses less digits than its factorization.

360462960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 360462960 is about 18985.8621084216. The cubic root of 360462960 is about 711.6834745912.

It can be divided in two parts, 3604 and 62960, that added together give a square (66564 = 258²).

The spelling of 360462960 in words is "three hundred sixty million, four hundred sixty-two thousand, nine hundred sixty".