46488560 has 40 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 18482432.

The previous prime is 46488551. The next prime is 46488571. The reversal of 46488560 is 6588464.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×46488560² = 4322372421747200, which contains 22 as substring.

It is a congruent number.

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, 12161 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (2718576).

Almost surely, 2^46488560 is an apocalyptic number.

46488560 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 46488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

46488560 is an abundant number, since it is smaller than the sum of its proper divisors (62254480).

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

46488560 is a wasteful number, since it uses less digits than its factorization.

46488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 46488560 is about 6818.2519753966. The cubic root of 46488560 is about 359.5688253489.

The spelling of 46488560 in words is "forty-six million, four hundred eighty-eight thousand, five hundred sixty".