415012560 has 80 divisors (see below), whose sum is σ = 1299875136. Its totient is φ = 109522944.

The previous prime is 415012541. The next prime is 415012561. The reversal of 415012560 is 65210514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 415012560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415012561) 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, 14367 + ... + 32193.

Almost surely, 2^415012560 is an apocalyptic number.

415012560 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 415012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649937568).

415012560 is an abundant number, since it is smaller than the sum of its proper divisors (884862576).

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

415012560 is a wasteful number, since it uses less digits than its factorization.

415012560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17940 (or 17934 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 415012560 is about 20371.8570582065. The cubic root of 415012560 is about 745.9111174523.

The spelling of 415012560 in words is "four hundred fifteen million, twelve thousand, five hundred sixty".