46736920 has 64 divisors (see below), whose sum is σ = 112777920. Its totient is φ = 17385984.

The previous prime is 46736887. The next prime is 46736947. The reversal of 46736920 is 2963764.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 46736920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33354 + ... + 34726.

It is an arithmetic number, because the mean of its divisors is an integer number (1762155).

Almost surely, 2^46736920 is an apocalyptic number.

46736920 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 46736920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56388960).

46736920 is an abundant number, since it is smaller than the sum of its proper divisors (66041000).

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

46736920 is a wasteful number, since it uses less digits than its factorization.

46736920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 46736920 is about 6836.4405943444. The cubic root of 46736920 is about 360.2080073626.

The spelling of 46736920 in words is "forty-six million, seven hundred thirty-six thousand, nine hundred twenty".