364213248 has 88 divisors (see below), whose sum is σ = 1109506752. Its totient is φ = 104054784.

The previous prime is 364213247. The next prime is 364213271. The reversal of 364213248 is 842312463.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364213247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13036 + ... + 29972.

Almost surely, 2^364213248 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 364213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554753376).

364213248 is an abundant number, since it is smaller than the sum of its proper divisors (745293504).

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

364213248 is a wasteful number, since it uses less digits than its factorization.

364213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16967 (or 16949 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 364213248 is about 19084.3718261828. The cubic root of 364213248 is about 714.1431030792.

The spelling of 364213248 in words is "three hundred sixty-four million, two hundred thirteen thousand, two hundred forty-eight".