364221264 has 80 divisors (see below), whose sum is σ = 1038933504. Its totient is φ = 109027200.

The previous prime is 364221257. The next prime is 364221329. The reversal of 364221264 is 462122463.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 39669 + ... + 47979.

Almost surely, 2^364221264 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 364221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519466752).

364221264 is an abundant number, since it is smaller than the sum of its proper divisors (674712240).

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

364221264 is a wasteful number, since it uses less digits than its factorization.

364221264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8410 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 364221264 is about 19084.5818397994. The cubic root of 364221264 is about 714.1483422527.

The spelling of 364221264 in words is "three hundred sixty-four million, two hundred twenty-one thousand, two hundred sixty-four".