414130479 has 32 divisors (see below), whose sum is σ = 693166080. Its totient is φ = 214438752.

The previous prime is 414130477. The next prime is 414130481. The reversal of 414130479 is 974031414.

It is an interprime number because it is at equal distance from previous prime (414130477) and next prime (414130481).

It is not a de Polignac number, because 414130479 - 2¹ = 414130477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414130477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13387 + ... + 31740.

It is an arithmetic number, because the mean of its divisors is an integer number (21661440).

Almost surely, 2^414130479 is an apocalyptic number.

414130479 is a deficient number, since it is larger than the sum of its proper divisors (279035601).

414130479 is a wasteful number, since it uses less digits than its factorization.

414130479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45179.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 414130479 is about 20350.1960432817. The cubic root of 414130479 is about 745.3822814727.

The spelling of 414130479 in words is "four hundred fourteen million, one hundred thirty thousand, four hundred seventy-nine".