415328256 has 384 divisors, whose sum is σ = 1493856000. Its totient is φ = 111476736.

The previous prime is 415328233. The next prime is 415328257. The reversal of 415328256 is 652823514.

415328256 is a `hidden beast` number, since 41 + 532 + 82 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 415328256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415328257) 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, 11225070 + ... + 11225106.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^415328256 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 415328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

415328256 is an abundant number, since it is smaller than the sum of its proper divisors (1078527744).

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

415328256 is a wasteful number, since it uses less digits than its factorization.

415328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 415328256 is about 20379.6039215683. The cubic root of 415328256 is about 746.1002052813.

The spelling of 415328256 in words is "four hundred fifteen million, three hundred twenty-eight thousand, two hundred fifty-six".