360413144 has 64 divisors (see below), whose sum is σ = 847506240. Its totient is φ = 139875840.

The previous prime is 360413113. The next prime is 360413153. The reversal of 360413144 is 441314063.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33914 + ... + 43254.

It is an arithmetic number, because the mean of its divisors is an integer number (13242285).

Almost surely, 2^360413144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423753120).

360413144 is an abundant number, since it is smaller than the sum of its proper divisors (487093096).

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

360413144 is a wasteful number, since it uses less digits than its factorization.

360413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420 (or 9416 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 360413144 is about 18984.5501395213. The cubic root of 360413144 is about 711.6506881829.

The spelling of 360413144 in words is "three hundred sixty million, four hundred thirteen thousand, one hundred forty-four".