365528416 has 72 divisors (see below), whose sum is σ = 803378520. Its totient is φ = 163553280.

The previous prime is 365528389. The next prime is 365528419. The reversal of 365528416 is 614825563.

It is a super-2 number, since 2×365528416² = 267222045806938112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365528419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258720 + ... + 260128.

It is an arithmetic number, because the mean of its divisors is an integer number (11158035).

Almost surely, 2^365528416 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 365528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401689260).

365528416 is an abundant number, since it is smaller than the sum of its proper divisors (437850104).

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

365528416 is a wasteful number, since it uses less digits than its factorization.

365528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1489 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 365528416 is about 19118.7974517227. The cubic root of 365528416 is about 715.0016568009.

The spelling of 365528416 in words is "three hundred sixty-five million, five hundred twenty-eight thousand, four hundred sixteen".