412461567 has 36 divisors (see below), whose sum is σ = 699604776. Its totient is φ = 233462880.

The previous prime is 412461563. The next prime is 412461589. The reversal of 412461567 is 765164214.

It is not a de Polignac number, because 412461567 - 2² = 412461563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412461563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42817 + ... + 51557.

It is an arithmetic number, because the mean of its divisors is an integer number (19433466).

Almost surely, 2^412461567 is an apocalyptic number.

412461567 is a deficient number, since it is larger than the sum of its proper divisors (287143209).

412461567 is a wasteful number, since it uses less digits than its factorization.

412461567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 8858 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 412461567 is about 20309.1498344958. The cubic root of 412461567 is about 744.3796568644.

The spelling of 412461567 in words is "four hundred twelve million, four hundred sixty-one thousand, five hundred sixty-seven".