414409513 has 16 divisors (see below), whose sum is σ = 508720000. Its totient is φ = 336507696.

The previous prime is 414409483. The next prime is 414409537. The reversal of 414409513 is 315904414.

It is not a de Polignac number, because 414409513 - 2¹⁷ = 414278441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414409573) 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, 25278 + ... + 38311.

It is an arithmetic number, because the mean of its divisors is an integer number (31795000).

Almost surely, 2^414409513 is an apocalyptic number.

It is an amenable number.

414409513 is a deficient number, since it is larger than the sum of its proper divisors (94310487).

414409513 is an equidigital number, since it uses as much as digits as its factorization.

414409513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63629 (or 63615 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 414409513 is about 20357.0506950295. The cubic root of 414409513 is about 745.5496524784.

The spelling of 414409513 in words is "four hundred fourteen million, four hundred nine thousand, five hundred thirteen".