415051560 has 768 divisors, whose sum is σ = 1891123200. Its totient is φ = 79833600.

The previous prime is 415051547. The next prime is 415051577. The reversal of 415051560 is 65150514.

It is a happy number.

415051560 is a `hidden beast` number, since 4 + 1 + 50 + 51 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13388745 + ... + 13388775.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 2^415051560 is an apocalyptic number.

415051560 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 415051560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945561600).

415051560 is an abundant number, since it is smaller than the sum of its proper divisors (1476071640).

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

415051560 is a wasteful number, since it uses less digits than its factorization.

415051560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 415051560 is about 20372.8142385877. The cubic root of 415051560 is about 745.9344819037.

The spelling of 415051560 in words is "four hundred fifteen million, fifty-one thousand, five hundred sixty".