364870480 has 160 divisors (see below), whose sum is σ = 962438400. Its totient is φ = 127733760.

The previous prime is 364870469. The next prime is 364870529. The reversal of 364870480 is 84078463.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833421 + ... + 1833619.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^364870480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481219200).

364870480 is an abundant number, since it is smaller than the sum of its proper divisors (597567920).

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

364870480 is a wasteful number, since it uses less digits than its factorization.

364870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 364870480 is about 19101.5831804592. The cubic root of 364870480 is about 714.5724080378.

The spelling of 364870480 in words is "three hundred sixty-four million, eight hundred seventy thousand, four hundred eighty".