415109628 has 36 divisors (see below), whose sum is σ = 1050803208. Its totient is φ = 138172320.

The previous prime is 415109627. The next prime is 415109633. The reversal of 415109628 is 826901514.

415109628 is a `hidden beast` number, since 4 + 15 + 10 + 9 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 415109592 and 415109601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415109627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18523 + ... + 34253.

It is an arithmetic number, because the mean of its divisors is an integer number (29188978).

Almost surely, 2^415109628 is an apocalyptic number.

It is an amenable number.

415109628 is an abundant number, since it is smaller than the sum of its proper divisors (635693580).

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

415109628 is a wasteful number, since it uses less digits than its factorization.

415109628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16474 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 415109628 is about 20374.2393232238. The cubic root of 415109628 is about 745.9692670628.

The spelling of 415109628 in words is "four hundred fifteen million, one hundred nine thousand, six hundred twenty-eight".