361408320 has 504 divisors, whose sum is σ = 1565187624. Its totient is φ = 75866112.

The previous prime is 361408303. The next prime is 361408373. The reversal of 361408320 is 23804163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67765824 + 293642496 = 8232^2 + 17136^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834462 + ... + 1834658.

It is an arithmetic number, because the mean of its divisors is an integer number (3105531).

Almost surely, 2^361408320 is an apocalyptic number.

361408320 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 361408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782593812).

361408320 is an abundant number, since it is smaller than the sum of its proper divisors (1203779304).

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

361408320 is a wasteful number, since it uses less digits than its factorization.

361408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 361408320 is about 19010.7422264361. The cubic root of 361408320 is about 712.3050916543.

The spelling of 361408320 in words is "three hundred sixty-one million, four hundred eight thousand, three hundred twenty".