46444560 has 80 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 12328960.

The previous prime is 46444543. The next prime is 46444577. The reversal of 46444560 is 6544464.

It is an interprime number because it is at equal distance from previous prime (46444543) and next prime (46444577).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103216 + ... + 103664.

It is an arithmetic number, because the mean of its divisors is an integer number (1807920).

Almost surely, 2^46444560 is an apocalyptic number.

46444560 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 46444560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

46444560 is an abundant number, since it is smaller than the sum of its proper divisors (98189040).

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

46444560 is a wasteful number, since it uses less digits than its factorization.

46444560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 46444560 is about 6815.0245780921. The cubic root of 46444560 is about 359.4553492427.

The spelling of 46444560 in words is "forty-six million, four hundred forty-four thousand, five hundred sixty".