360294480 has 600 divisors, whose sum is σ = 1581541632. Its totient is φ = 74400768.

The previous prime is 360294479. The next prime is 360294491. The reversal of 360294480 is 84492063.

It is a happy number.

360294480 is a `hidden beast` number, since 3 + 602 + 9 + 4 + 48 + 0 = 666.

It is a super-2 number, since 2×360294480² = 259624224636940800, which contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 7665817 + ... + 7665863.

Almost surely, 2^360294480 is an apocalyptic number.

360294480 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 360294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790770816).

360294480 is an abundant number, since it is smaller than the sum of its proper divisors (1221247152).

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

360294480 is a wasteful number, since it uses less digits than its factorization.

360294480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 360294480 is about 18981.4246040702. The cubic root of 360294480 is about 711.5725772813.

The spelling of 360294480 in words is "three hundred sixty million, two hundred ninety-four thousand, four hundred eighty".