46705920 has 72 divisors (see below), whose sum is σ = 149179296. Its totient is φ = 12453888.

The previous prime is 46705913. The next prime is 46705937. The reversal of 46705920 is 2950764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2242 + ... + 9921.

Almost surely, 2^46705920 is an apocalyptic number.

46705920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74589648).

46705920 is an abundant number, since it is smaller than the sum of its proper divisors (102473376).

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

46705920 is a wasteful number, since it uses less digits than its factorization.

46705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 46705920 is about 6834.1729565471. The cubic root of 46705920 is about 360.1283492965.

The spelling of 46705920 in words is "forty-six million, seven hundred five thousand, nine hundred twenty".