412199172 has 288 divisors, whose sum is σ = 1388903040. Its totient is φ = 104509440.

The previous prime is 412199149. The next prime is 412199189. The reversal of 412199172 is 271991214.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 4249428 + ... + 4249524.

It is an arithmetic number, because the mean of its divisors is an integer number (4822580).

Almost surely, 2^412199172 is an apocalyptic number.

412199172 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 412199172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694451520).

412199172 is an abundant number, since it is smaller than the sum of its proper divisors (976703868).

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

412199172 is a wasteful number, since it uses less digits than its factorization.

412199172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 412199172 is about 20302.6887874488. The cubic root of 412199172 is about 744.2217731168.

The spelling of 412199172 in words is "four hundred twelve million, one hundred ninety-nine thousand, one hundred seventy-two".