364472480 has 48 divisors (see below), whose sum is σ = 865468800. Its totient is φ = 145043712.

The previous prime is 364472477. The next prime is 364472519. The reversal of 364472480 is 84274463.

364472480 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26117 + ... + 37563.

It is an arithmetic number, because the mean of its divisors is an integer number (18030600).

Almost surely, 2^364472480 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 364472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432734400).

364472480 is an abundant number, since it is smaller than the sum of its proper divisors (500996320).

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

364472480 is a wasteful number, since it uses less digits than its factorization.

364472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661 (or 11653 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 364472480 is about 19091.1623532984. The cubic root of 364472480 is about 714.3124954530.

The spelling of 364472480 in words is "three hundred sixty-four million, four hundred seventy-two thousand, four hundred eighty".