414984375 has 84 divisors (see below), whose sum is σ = 810458376. Its totient is φ = 203400000.

The previous prime is 414984373. The next prime is 414984379. The reversal of 414984375 is 573489414.

It is not a de Polignac number, because 414984375 - 2¹ = 414984373 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 414984375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414984373) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1828012 + ... + 1828238.

It is an arithmetic number, because the mean of its divisors is an integer number (9648314).

Almost surely, 2^414984375 is an apocalyptic number.

414984375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414984375 is a deficient number, since it is larger than the sum of its proper divisors (395474001).

414984375 is an equidigital number, since it uses as much as digits as its factorization.

414984375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 248 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 414984375 is about 20371.1652833116. The cubic root of 414984375 is about 745.8942312318.

The spelling of 414984375 in words is "four hundred fourteen million, nine hundred eighty-four thousand, three hundred seventy-five".