414087975 has 162 divisors, whose sum is σ = 914613336. Its totient is φ = 178516800.

The previous prime is 414087943. The next prime is 414088007. The reversal of 414087975 is 579780414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414087943) and next prime (414088007).

It is not a de Polignac number, because 414087975 - 2⁵ = 414087943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 414087975.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 5832190 + ... + 5832260.

Almost surely, 2^414087975 is an apocalyptic number.

414087975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414087975 is an abundant number, since it is smaller than the sum of its proper divisors (500525361).

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

414087975 is a wasteful number, since it uses less digits than its factorization.

414087975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 414087975 is about 20349.1517022209. The cubic root of 414087975 is about 745.3567799991.

The spelling of 414087975 in words is "four hundred fourteen million, eighty-seven thousand, nine hundred seventy-five".