361314240 has 168 divisors, whose sum is σ = 1334639952. Its totient is φ = 82575360.

The previous prime is 361314227. The next prime is 361314257. The reversal of 361314240 is 42413163.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 361314240.

It is a congruent number.

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, 43200 + ... + 50880.

Almost surely, 2^361314240 is an apocalyptic number.

361314240 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 361314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667319976).

361314240 is an abundant number, since it is smaller than the sum of its proper divisors (973325712).

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

361314240 is a wasteful number, since it uses less digits than its factorization.

361314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 361314240 is about 19008.2676748829. The cubic root of 361314240 is about 712.2432783948.

The spelling of 361314240 in words is "three hundred sixty-one million, three hundred fourteen thousand, two hundred forty".