46744560 has 320 divisors, whose sum is σ = 182131200. Its totient is φ = 10948608.

The previous prime is 46744547. The next prime is 46744567. The reversal of 46744560 is 6544764.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46744567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697647 + ... + 697713.

It is an arithmetic number, because the mean of its divisors is an integer number (569160).

Almost surely, 2^46744560 is an apocalyptic number.

46744560 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 46744560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

46744560 is an abundant number, since it is smaller than the sum of its proper divisors (135386640).

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

46744560 is a wasteful number, since it uses less digits than its factorization.

46744560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 46744560 is about 6836.9993418166. Note that the first 3 decimals coincide. The cubic root of 46744560 is about 360.2276338109.

The spelling of 46744560 in words is "forty-six million, seven hundred forty-four thousand, five hundred sixty".