46779705 has 48 divisors (see below), whose sum is σ = 93684864. Its totient is φ = 21150720.

The previous prime is 46779679. The next prime is 46779721. The reversal of 46779705 is 50797764.

It is not a de Polignac number, because 46779705 - 2⁵ = 46779673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29790 + ... + 31320.

It is an arithmetic number, because the mean of its divisors is an integer number (1951768).

Almost surely, 2^46779705 is an apocalyptic number.

46779705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46779705 is an abundant number, since it is smaller than the sum of its proper divisors (46905159).

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

46779705 is a wasteful number, since it uses less digits than its factorization.

46779705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 46779705 is about 6839.5690653725. The cubic root of 46779705 is about 360.3178905071.

The spelling of 46779705 in words is "forty-six million, seven hundred seventy-nine thousand, seven hundred five".