45311760 has 240 divisors, whose sum is σ = 168989184. Its totient is φ = 10810368.

The previous prime is 45311753. The next prime is 45311779. The reversal of 45311760 is 6711354.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439869 + ... + 439971.

Almost surely, 2^45311760 is an apocalyptic number.

45311760 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 45311760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84494592).

45311760 is an abundant number, since it is smaller than the sum of its proper divisors (123677424).

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

45311760 is a wasteful number, since it uses less digits than its factorization.

45311760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 45311760 is about 6731.4010428736. The cubic root of 45311760 is about 356.5088460451.

The spelling of 45311760 in words is "forty-five million, three hundred eleven thousand, seven hundred sixty".