360361920 has 224 divisors, whose sum is σ = 1232464896. Its totient is φ = 88883200.

The previous prime is 360361909. The next prime is 360361927. The reversal of 360361920 is 29163063.

It is a happy number.

360361920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360361927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158565 + ... + 1158875.

Almost surely, 2^360361920 is an apocalyptic number.

360361920 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 360361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616232448).

360361920 is an abundant number, since it is smaller than the sum of its proper divisors (872102976).

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

360361920 is a wasteful number, since it uses less digits than its factorization.

360361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 360361920 is about 18983.2009945636. The cubic root of 360361920 is about 711.6169719486.

The spelling of 360361920 in words is "three hundred sixty million, three hundred sixty-one thousand, nine hundred twenty".