46795760 has 80 divisors (see below), whose sum is σ = 121679712. Its totient is φ = 16588800.

The previous prime is 46795757. The next prime is 46795769. The reversal of 46795760 is 6759764.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46795769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35432 + ... + 36728.

Almost surely, 2^46795760 is an apocalyptic number.

46795760 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 46795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60839856).

46795760 is an abundant number, since it is smaller than the sum of its proper divisors (74883952).

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

46795760 is a wasteful number, since it uses less digits than its factorization.

46795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 46795760 is about 6840.7426497421. The cubic root of 46795760 is about 360.3591066859.

The spelling of 46795760 in words is "forty-six million, seven hundred ninety-five thousand, seven hundred sixty".