360409896 has 288 divisors, whose sum is σ = 1277246880. Its totient is φ = 90720000.

The previous prime is 360409891. The next prime is 360409897. The reversal of 360409896 is 698904063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360409891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1435771 + ... + 1436021.

It is an arithmetic number, because the mean of its divisors is an integer number (4434885).

Almost surely, 2^360409896 is an apocalyptic number.

360409896 is a gapful number since it is divisible by the number (36) 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 360409896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638623440).

360409896 is an abundant number, since it is smaller than the sum of its proper divisors (916836984).

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

360409896 is a wasteful number, since it uses less digits than its factorization.

360409896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 360409896 is about 18984.4645960849. The cubic root of 360409896 is about 711.6485504063.

The spelling of 360409896 in words is "three hundred sixty million, four hundred nine thousand, eight hundred ninety-six".