412354656 has 144 divisors (see below), whose sum is σ = 1350838944. Its totient is φ = 116877312.

The previous prime is 412354633. The next prime is 412354661. The reversal of 412354656 is 656453214.

412354656 is a `hidden beast` number, since 41 + 23 + 546 + 56 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 412354656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275446 + ... + 276938.

It is an arithmetic number, because the mean of its divisors is an integer number (9380826).

Almost surely, 2^412354656 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 412354656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675419472).

412354656 is an abundant number, since it is smaller than the sum of its proper divisors (938484288).

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

412354656 is a wasteful number, since it uses less digits than its factorization.

412354656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 412354656 is about 20306.5175744144. The cubic root of 412354656 is about 744.3153363258.

The spelling of 412354656 in words is "four hundred twelve million, three hundred fifty-four thousand, six hundred fifty-six".