412371432 has 128 divisors (see below), whose sum is σ = 1257379200. Its totient is φ = 124185600.

The previous prime is 412371409. The next prime is 412371451. The reversal of 412371432 is 234173214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 412371396 and 412371405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467632 + ... + 468512.

It is an arithmetic number, because the mean of its divisors is an integer number (9823275).

Almost surely, 2^412371432 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 412371432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628689600).

412371432 is an abundant number, since it is smaller than the sum of its proper divisors (845007768).

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

412371432 is a wasteful number, since it uses less digits than its factorization.

412371432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 412371432 is about 20306.9306395624. The cubic root of 412371432 is about 744.3254299548.

The spelling of 412371432 in words is "four hundred twelve million, three hundred seventy-one thousand, four hundred thirty-two".