415257120 has 144 divisors (see below), whose sum is σ = 1444067352. Its totient is φ = 108625920.

The previous prime is 415257053. The next prime is 415257127. The reversal of 415257120 is 21752514.

415257120 is a `hidden beast` number, since 41 + 52 + 571 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 393466896 + 21790224 = 19836^2 + 4668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (415257127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73600 + ... + 79040.

Almost surely, 2^415257120 is an apocalyptic number.

415257120 is a gapful number since it is divisible by the number (40) 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 415257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722033676).

415257120 is an abundant number, since it is smaller than the sum of its proper divisors (1028810232).

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

415257120 is a wasteful number, since it uses less digits than its factorization.

415257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 415257120 is about 20377.8585724801. The cubic root of 415257120 is about 746.0576063539.

The spelling of 415257120 in words is "four hundred fifteen million, two hundred fifty-seven thousand, one hundred twenty".