414112632 has 64 divisors (see below), whose sum is σ = 1074432000. Its totient is φ = 132865920.

The previous prime is 414112613. The next prime is 414112649. The reversal of 414112632 is 236211414.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 15 ways as a sum of consecutive naturals, for example, 146658 + ... + 149454.

It is an arithmetic number, because the mean of its divisors is an integer number (16788000).

Almost surely, 2^414112632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414112632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537216000).

414112632 is an abundant number, since it is smaller than the sum of its proper divisors (660319368).

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

414112632 is a wasteful number, since it uses less digits than its factorization.

414112632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3032 counting only the distinct ones).

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

The square root of 414112632 is about 20349.7575415532. The cubic root of 414112632 is about 745.3715738742.

The spelling of 414112632 in words is "four hundred fourteen million, one hundred twelve thousand, six hundred thirty-two".