414401631 has 16 divisors (see below), whose sum is σ = 635712000. Its totient is φ = 235209888.

The previous prime is 414401629. The next prime is 414401681. The reversal of 414401631 is 136104414.

It is not a de Polignac number, because 414401631 - 2¹ = 414401629 is a prime.

It is a super-2 number, since 2×414401631² = 343457423550920322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414401681) 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, 63091 + ... + 69348.

It is an arithmetic number, because the mean of its divisors is an integer number (39732000).

Almost surely, 2^414401631 is an apocalyptic number.

414401631 is a deficient number, since it is larger than the sum of its proper divisors (221310369).

414401631 is a wasteful number, since it uses less digits than its factorization.

414401631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132598.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 414401631 is about 20356.8571002500. The cubic root of 414401631 is about 745.5449257050.

It can be divided in two parts, 41440 and 1631, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 414401631 in words is "four hundred fourteen million, four hundred one thousand, six hundred thirty-one".