414223992 has 192 divisors, whose sum is σ = 1392168960. Its totient is φ = 108345600.

The previous prime is 414223981. The next prime is 414223993. The reversal of 414223992 is 299322414.

414223992 is a `hidden beast` number, since 414 + 2 + 239 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414223993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251267 + ... + 1251597.

It is an arithmetic number, because the mean of its divisors is an integer number (7250880).

Almost surely, 2^414223992 is an apocalyptic number.

414223992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414223992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696084480).

414223992 is an abundant number, since it is smaller than the sum of its proper divisors (977944968).

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

414223992 is a wasteful number, since it uses less digits than its factorization.

414223992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 414223992 is about 20352.4935081675. The cubic root of 414223992 is about 745.4383810927.

The spelling of 414223992 in words is "four hundred fourteen million, two hundred twenty-three thousand, nine hundred ninety-two".