360646144 has 80 divisors (see below), whose sum is σ = 767004480. Its totient is φ = 168929280.

The previous prime is 360646123. The next prime is 360646147. The reversal of 360646144 is 441646063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360646147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1274227 + ... + 1274509.

It is an arithmetic number, because the mean of its divisors is an integer number (9587556).

Almost surely, 2^360646144 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 360646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383502240).

360646144 is an abundant number, since it is smaller than the sum of its proper divisors (406358336).

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

360646144 is a wasteful number, since it uses less digits than its factorization.

360646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 360646144 is about 18990.6857169508. The cubic root of 360646144 is about 711.8040111993.

The spelling of 360646144 in words is "three hundred sixty million, six hundred forty-six thousand, one hundred forty-four".