412556652 has 144 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 128304000.

The previous prime is 412556569. The next prime is 412556657. The reversal of 412556652 is 256655214.

412556652 is a `hidden beast` number, since 41 + 2 + 5 + 566 + 52 = 666.

It is a super-2 number, since 2×412556652² = 340405982218898208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (412556657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1643527 + ... + 1643777.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2^412556652 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 412556652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

412556652 is an abundant number, since it is smaller than the sum of its proper divisors (743216148).

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

412556652 is a wasteful number, since it uses less digits than its factorization.

412556652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 412556652 is about 20311.4906395370. The cubic root of 412556652 is about 744.4368532249.

The spelling of 412556652 in words is "four hundred twelve million, five hundred fifty-six thousand, six hundred fifty-two".