46485760 has 72 divisors (see below), whose sum is σ = 116262720. Its totient is φ = 17774592.

The previous prime is 46485757. The next prime is 46485779. The reversal of 46485760 is 6758464.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 28651 + ... + 30229.

It is an arithmetic number, because the mean of its divisors is an integer number (1614760).

Almost surely, 2^46485760 is an apocalyptic number.

46485760 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 46485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58131360).

46485760 is an abundant number, since it is smaller than the sum of its proper divisors (69776960).

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

46485760 is a wasteful number, since it uses less digits than its factorization.

46485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 46485760 is about 6818.0466410842. The cubic root of 46485760 is about 359.5616062759.

The spelling of 46485760 in words is "forty-six million, four hundred eighty-five thousand, seven hundred sixty".