461942505 has 12 divisors (see below), whose sum is σ = 800700420. Its totient is φ = 246369312.

The previous prime is 461942473. The next prime is 461942519. The reversal of 461942505 is 505249164.

461942505 is a `hidden beast` number, since 4 + 61 + 94 + 2 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 297769536 + 164172969 = 17256^2 + 12813^2 .

It is not a de Polignac number, because 461942505 - 2⁵ = 461942473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 461942505.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5132650 + ... + 5132739.

It is an arithmetic number, because the mean of its divisors is an integer number (66725035).

Almost surely, 2^461942505 is an apocalyptic number.

461942505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461942505 is a deficient number, since it is larger than the sum of its proper divisors (338757915).

461942505 is a wasteful number, since it uses less digits than its factorization.

461942505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10265400 (or 10265397 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 461942505 is about 21492.8477638493. The cubic root of 461942505 is about 773.0293352592.

The spelling of 461942505 in words is "four hundred sixty-one million, nine hundred forty-two thousand, five hundred five".