361760256 has 400 divisors, whose sum is σ = 1289323728. Its totient is φ = 99532800.

The previous prime is 361760251. The next prime is 361760263. The reversal of 361760256 is 652067163.

361760256 is a `hidden beast` number, since 36 + 17 + 602 + 5 + 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 361760256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361760251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5930466 + ... + 5930526.

Almost surely, 2^361760256 is an apocalyptic number.

361760256 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 361760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644661864).

361760256 is an abundant number, since it is smaller than the sum of its proper divisors (927563472).

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

361760256 is a wasteful number, since it uses less digits than its factorization.

361760256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 361760256 is about 19019.9962145107. The cubic root of 361760256 is about 712.5362286288.

The spelling of 361760256 in words is "three hundred sixty-one million, seven hundred sixty thousand, two hundred fifty-six".