45557760 has 96 divisors (see below), whose sum is σ = 145847520. Its totient is φ = 12140544.

The previous prime is 45557747. The next prime is 45557761. The reversal of 45557760 is 6775554.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45557761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29979 + ... + 31461.

It is an arithmetic number, because the mean of its divisors is an integer number (1519245).

Almost surely, 2^45557760 is an apocalyptic number.

45557760 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 45557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72923760).

45557760 is an abundant number, since it is smaller than the sum of its proper divisors (100289760).

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

45557760 is a wasteful number, since it uses less digits than its factorization.

45557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 45557760 is about 6749.6488797566. The cubic root of 45557760 is about 357.1528506156.

The spelling of 45557760 in words is "forty-five million, five hundred fifty-seven thousand, seven hundred sixty".