414137628 has 18 divisors (see below), whose sum is σ = 1046847984. Its totient is φ = 138045864.

The previous prime is 414137611. The next prime is 414137641. The reversal of 414137628 is 826731414.

414137628 is a `hidden beast` number, since 4 + 14 + 13 + 7 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11503823 = 414137628 / (4 + 1 + 4 + 1 + 3 + 7 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 414137592 and 414137601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5751876 + ... + 5751947.

Almost surely, 2^414137628 is an apocalyptic number.

It is an amenable number.

414137628 is an abundant number, since it is smaller than the sum of its proper divisors (632710356).

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

414137628 is a wasteful number, since it uses less digits than its factorization.

414137628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503833 (or 11503828 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 414137628 is about 20350.3716919372. The cubic root of 414137628 is about 745.3865705455.

The spelling of 414137628 in words is "four hundred fourteen million, one hundred thirty-seven thousand, six hundred twenty-eight".