360306480 has 80 divisors (see below), whose sum is σ = 1119928320. Its totient is φ = 95825664.

The previous prime is 360306413. The next prime is 360306497. The reversal of 360306480 is 84603063.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98769 + ... + 102351.

It is an arithmetic number, because the mean of its divisors is an integer number (13999104).

Almost surely, 2^360306480 is an apocalyptic number.

360306480 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 360306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559964160).

360306480 is an abundant number, since it is smaller than the sum of its proper divisors (759621840).

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

360306480 is a wasteful number, since it uses less digits than its factorization.

360306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 360306480 is about 18981.7406999464. The cubic root of 360306480 is about 711.5804770934.

The spelling of 360306480 in words is "three hundred sixty million, three hundred six thousand, four hundred eighty".