414904830 has 64 divisors (see below), whose sum is σ = 1034643456. Its totient is φ = 106400000.

The previous prime is 414904801. The next prime is 414904883. The reversal of 414904830 is 38409414.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 414904791 and 414904800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84955 + ... + 89705.

It is an arithmetic number, because the mean of its divisors is an integer number (16166304).

Almost surely, 2^414904830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414904830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321728).

414904830 is an abundant number, since it is smaller than the sum of its proper divisors (619738626).

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

414904830 is a wasteful number, since it uses less digits than its factorization.

414904830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 414904830 is about 20369.2127977495. The cubic root of 414904830 is about 745.8465700414.

The spelling of 414904830 in words is "four hundred fourteen million, nine hundred four thousand, eight hundred thirty".