412929792 has 144 divisors (see below), whose sum is σ = 1332360960. Its totient is φ = 125107200.

The previous prime is 412929773. The next prime is 412929841. The reversal of 412929792 is 297929214.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×412929792² = 341022026242326528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73317 + ... + 78747.

Almost surely, 2^412929792 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 412929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666180480).

412929792 is an abundant number, since it is smaller than the sum of its proper divisors (919431168).

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

412929792 is a wasteful number, since it uses less digits than its factorization.

412929792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5447 counting only the distinct ones).

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

The square root of 412929792 is about 20320.6740045698. The cubic root of 412929792 is about 744.6612227845.

The spelling of 412929792 in words is "four hundred twelve million, nine hundred twenty-nine thousand, seven hundred ninety-two".