360039456 has 216 divisors, whose sum is σ = 1230937344. Its totient is φ = 99429120.

The previous prime is 360039451. The next prime is 360039457. The reversal of 360039456 is 654930063.

360039456 is a `hidden beast` number, since 3 + 600 + 3 + 9 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 360039456.

It is not an unprimeable number, because it can be changed into a prime (360039451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437061 + ... + 437883.

It is an arithmetic number, because the mean of its divisors is an integer number (5698784).

Almost surely, 2^360039456 is an apocalyptic number.

360039456 is a gapful number since it is divisible by the number (36) 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 360039456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615468672).

360039456 is an abundant number, since it is smaller than the sum of its proper divisors (870897888).

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

360039456 is a wasteful number, since it uses less digits than its factorization.

360039456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 360039456 is about 18974.7056894172. The cubic root of 360039456 is about 711.4046489823.

The spelling of 360039456 in words is "three hundred sixty million, thirty-nine thousand, four hundred fifty-six".