412825392 has 180 divisors, whose sum is σ = 1377708696. Its totient is φ = 114992640.

The previous prime is 412825379. The next prime is 412825421. The reversal of 412825392 is 293528214.

It is a happy number.

412825392 is a `hidden beast` number, since 41 + 2 + 82 + 539 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288583 + ... + 290009.

Almost surely, 2^412825392 is an apocalyptic number.

412825392 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 412825392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688854348).

412825392 is an abundant number, since it is smaller than the sum of its proper divisors (964883304).

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

412825392 is a wasteful number, since it uses less digits than its factorization.

412825392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1480 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 412825392 is about 20318.1050297512. The cubic root of 412825392 is about 744.5984605540.

The spelling of 412825392 in words is "four hundred twelve million, eight hundred twenty-five thousand, three hundred ninety-two".