416030832 has 120 divisors (see below), whose sum is σ = 1335316320. Its totient is φ = 118448640.

The previous prime is 416030809. The next prime is 416030837. The reversal of 416030832 is 238030614.

It is a happy number.

It is a super-2 number, since 2×416030832² = 346163306349224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416030796 and 416030805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416030837) 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, 391582 + ... + 392642.

It is an arithmetic number, because the mean of its divisors is an integer number (11127636).

Almost surely, 2^416030832 is an apocalyptic number.

416030832 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 416030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667658160).

416030832 is an abundant number, since it is smaller than the sum of its proper divisors (919285488).

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

416030832 is a wasteful number, since it uses less digits than its factorization.

416030832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 416030832 is about 20396.8338719518. The cubic root of 416030832 is about 746.5206733412.

The spelling of 416030832 in words is "four hundred sixteen million, thirty thousand, eight hundred thirty-two".