365525280 has 144 divisors (see below), whose sum is σ = 1290514680. Its totient is φ = 94101504.

The previous prime is 365525273. The next prime is 365525297. The reversal of 365525280 is 82525563.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 344622096 + 20903184 = 18564^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 37384 + ... + 46136.

Almost surely, 2^365525280 is an apocalyptic number.

365525280 is a gapful number since it is divisible by the number (30) 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 365525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645257340).

365525280 is an abundant number, since it is smaller than the sum of its proper divisors (924989400).

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

365525280 is a wasteful number, since it uses less digits than its factorization.

365525280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 365525280 is about 19118.7154380204. The cubic root of 365525280 is about 714.9996120428. Note that the first 3 decimals are identical.

The spelling of 365525280 in words is "three hundred sixty-five million, five hundred twenty-five thousand, two hundred eighty".