46779768 has 80 divisors (see below), whose sum is σ = 149759280. Its totient is φ = 13364352.

The previous prime is 46779751. The next prime is 46779773. The reversal of 46779768 is 86797764.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 621 + ... + 9692.

It is an arithmetic number, because the mean of its divisors is an integer number (1871991).

Almost surely, 2^46779768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46779768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74879640).

46779768 is an abundant number, since it is smaller than the sum of its proper divisors (102979512).

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

46779768 is a wasteful number, since it uses less digits than its factorization.

46779768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10325 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 46779768 is about 6839.5736709242. The cubic root of 46779768 is about 360.3180522583.

The spelling of 46779768 in words is "forty-six million, seven hundred seventy-nine thousand, seven hundred sixty-eight".