364973472 has 96 divisors (see below), whose sum is σ = 1090575360. Its totient is φ = 118679040.

The previous prime is 364973419. The next prime is 364973473. The reversal of 364973472 is 274379463.

364973472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (364973473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30273 + ... + 40575.

It is an arithmetic number, because the mean of its divisors is an integer number (11360160).

Almost surely, 2^364973472 is an apocalyptic number.

364973472 is a gapful number since it is divisible by the number (32) 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 364973472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545287680).

364973472 is an abundant number, since it is smaller than the sum of its proper divisors (725601888).

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

364973472 is a wasteful number, since it uses less digits than its factorization.

364973472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10349 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 364973472 is about 19104.2788924366. The cubic root of 364973472 is about 714.6396358369.

The spelling of 364973472 in words is "three hundred sixty-four million, nine hundred seventy-three thousand, four hundred seventy-two".