412429656 has 128 divisors (see below), whose sum is σ = 1164844800. Its totient is φ = 120913920.

The previous prime is 412429643. The next prime is 412429669. The reversal of 412429656 is 656924214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412429643) and next prime (412429669).

It is a super-2 number, since 2×412429656² = 340196442296556672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643096 + ... + 643736.

It is an arithmetic number, because the mean of its divisors is an integer number (9100350).

Almost surely, 2^412429656 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 412429656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582422400).

412429656 is an abundant number, since it is smaller than the sum of its proper divisors (752415144).

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

412429656 is a wasteful number, since it uses less digits than its factorization.

412429656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 412429656 is about 20308.3641881861. The cubic root of 412429656 is about 744.3604595106.

The spelling of 412429656 in words is "four hundred twelve million, four hundred twenty-nine thousand, six hundred fifty-six".