412972992 has 280 divisors, whose sum is σ = 1316644560. Its totient is φ = 127733760.

The previous prime is 412972969. The next prime is 412973047. The reversal of 412972992 is 299279214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6163743 + ... + 6163809.

It is an arithmetic number, because the mean of its divisors is an integer number (4702302).

Almost surely, 2^412972992 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 412972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658322280).

412972992 is an abundant number, since it is smaller than the sum of its proper divisors (903671568).

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

412972992 is a wasteful number, since it uses less digits than its factorization.

412972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 412972992 is about 20321.7369336383. The cubic root of 412972992 is about 744.6871902683.

The spelling of 412972992 in words is "four hundred twelve million, nine hundred seventy-two thousand, nine hundred ninety-two".