415360256 has 36 divisors (see below), whose sum is σ = 831652500. Its totient is φ = 207040512.

The previous prime is 415360249. The next prime is 415360271. The reversal of 415360256 is 652063514.

It can be written as a sum of positive squares in 2 ways, for example, as 368025856 + 47334400 = 19184^2 + 6880^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87020 + ... + 91668.

Almost surely, 2^415360256 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 415360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415826250).

415360256 is an abundant number, since it is smaller than the sum of its proper divisors (416292244).

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

415360256 is an equidigital number, since it uses as much as digits as its factorization.

415360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 415360256 is about 20380.3890051196. The cubic root of 415360256 is about 746.1193665055.

The spelling of 415360256 in words is "four hundred fifteen million, three hundred sixty thousand, two hundred fifty-six".