365988480 has 512 divisors, whose sum is σ = 1447649280. Its totient is φ = 77414400.

The previous prime is 365988463. The next prime is 365988499. The reversal of 365988480 is 84889563.

365988480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8511339 + ... + 8511381.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2^365988480 is an apocalyptic number.

365988480 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 365988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723824640).

365988480 is an abundant number, since it is smaller than the sum of its proper divisors (1081660800).

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

365988480 is a wasteful number, since it uses less digits than its factorization.

365988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 365988480 is about 19130.8253873167. The cubic root of 365988480 is about 715.3015045439.

The spelling of 365988480 in words is "three hundred sixty-five million, nine hundred eighty-eight thousand, four hundred eighty".