360407552 has 30 divisors (see below), whose sum is σ = 720970503. Its totient is φ = 179988992.

The previous prime is 360407549. The next prime is 360407557. The reversal of 360407552 is 255704063.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 180203776 + 180203776 = 13424^2 + 13424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (360407557) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 429149 + ... + 429987.

Almost surely, 2^360407552 is an apocalyptic number.

360407552 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 360407552

360407552 is an abundant number, since it is smaller than the sum of its proper divisors (360562951).

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

360407552 is an frugal number, since it uses more digits than its factorization.

360407552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 360407552 is about 18984.4028612964. The cubic root of 360407552 is about 711.6470076186.

Multiplying 360407552 by its sum of digits (32), we get a square (11533041664 = 107392²).

360407552 divided by its sum of digits (32) gives a square (11262736 = 3356²).

The spelling of 360407552 in words is "three hundred sixty million, four hundred seven thousand, five hundred fifty-two".