415461256 has 64 divisors (see below), whose sum is σ = 929664000. Its totient is φ = 170311680.

The previous prime is 415461251. The next prime is 415461281. The reversal of 415461256 is 652164514.

It is not an unprimeable number, because it can be changed into a prime (415461251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153160 + ... + 155848.

It is an arithmetic number, because the mean of its divisors is an integer number (14526000).

Almost surely, 2^415461256 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 415461256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464832000).

415461256 is an abundant number, since it is smaller than the sum of its proper divisors (514202744).

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

415461256 is a wasteful number, since it uses less digits than its factorization.

415461256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2818 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 415461256 is about 20382.8667267389. The cubic root of 415461256 is about 746.1798376649.

The spelling of 415461256 in words is "four hundred fifteen million, four hundred sixty-one thousand, two hundred fifty-six".