414663612 has 72 divisors (see below), whose sum is σ = 1067864448. Its totient is φ = 125141280.

The previous prime is 414663593. The next prime is 414663617. The reversal of 414663612 is 216366414.

It is a super-2 number, since 2×414663612² = 343891822233773088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (414663617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503433 + ... + 504255.

Almost surely, 2^414663612 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 414663612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533932224).

414663612 is an abundant number, since it is smaller than the sum of its proper divisors (653200836).

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

414663612 is a wasteful number, since it uses less digits than its factorization.

414663612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 414663612 is about 20363.2907949575. The cubic root of 414663612 is about 745.7020015508.

The spelling of 414663612 in words is "four hundred fourteen million, six hundred sixty-three thousand, six hundred twelve".