42646905 has 80 divisors (see below), whose sum is σ = 89443200. Its totient is φ = 19432224.

The previous prime is 42646873. The next prime is 42646913. The reversal of 42646905 is 50964624.

42646905 is a `hidden beast` number, since 4 + 2 + 646 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 42646905 - 2⁵ = 42646873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42646905.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138762 + ... + 139068.

It is an arithmetic number, because the mean of its divisors is an integer number (1118040).

Almost surely, 2^42646905 is an apocalyptic number.

42646905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42646905 is an abundant number, since it is smaller than the sum of its proper divisors (46796295).

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

42646905 is an equidigital number, since it uses as much as digits as its factorization.

42646905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42646905 is about 6530.4597847319. The cubic root of 42646905 is about 349.3782294198.

The spelling of 42646905 in words is "forty-two million, six hundred forty-six thousand, nine hundred five".