617412432 has 240 divisors, whose sum is σ = 2012871168. Its totient is φ = 159644160.

The previous prime is 617412421. The next prime is 617412449. The reversal of 617412432 is 234214716.

617412432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×617412432² = 762396222376309248, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 617412432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4713007 + ... + 4713137.

Almost surely, 2^617412432 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 617412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006435584).

617412432 is an abundant number, since it is smaller than the sum of its proper divisors (1395458736).

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

617412432 is a wasteful number, since it uses less digits than its factorization.

617412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 617412432 is about 24847.7852534185. The cubic root of 617412432 is about 851.5139946809.

The spelling of 617412432 in words is "six hundred seventeen million, four hundred twelve thousand, four hundred thirty-two".