46791360 has 336 divisors, whose sum is σ = 201606912. Its totient is φ = 9676800.

The previous prime is 46791359. The next prime is 46791383. The reversal of 46791360 is 6319764.

46791360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221655 + ... + 221865.

Almost surely, 2^46791360 is an apocalyptic number.

46791360 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 46791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100803456).

46791360 is an abundant number, since it is smaller than the sum of its proper divisors (154815552).

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

46791360 is a wasteful number, since it uses less digits than its factorization.

46791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 46791360 is about 6840.4210396729. The cubic root of 46791360 is about 360.3478120033.

The spelling of 46791360 in words is "forty-six million, seven hundred ninety-one thousand, three hundred sixty".