414632616 has 64 divisors (see below), whose sum is σ = 1068681600. Its totient is φ = 133996800.

The previous prime is 414632609. The next prime is 414632629. The reversal of 414632616 is 616236414.

It is a super-3 number, since 3×414632616³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101950 + ... + 105938.

It is an arithmetic number, because the mean of its divisors is an integer number (16698150).

Almost surely, 2^414632616 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 414632616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

414632616 is an abundant number, since it is smaller than the sum of its proper divisors (654048984).

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

414632616 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (414632615) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4126).

414632616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4126 counting only the distinct ones).

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

The square root of 414632616 is about 20362.5297053190. The cubic root of 414632616 is about 745.6834207426.

The spelling of 414632616 in words is "four hundred fourteen million, six hundred thirty-two thousand, six hundred sixteen".