45320760 has 144 divisors (see below), whose sum is σ = 153358920. Its totient is φ = 11606400.

The previous prime is 45320749. The next prime is 45320761. The reversal of 45320760 is 6702354.

It is a happy number.

45320760 is a `hidden beast` number, since 453 + 207 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45320761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345895 + ... + 346025.

Almost surely, 2^45320760 is an apocalyptic number.

45320760 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 45320760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76679460).

45320760 is an abundant number, since it is smaller than the sum of its proper divisors (108038160).

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

45320760 is a wasteful number, since it uses less digits than its factorization.

45320760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45320760 is about 6732.0695183576. The cubic root of 45320760 is about 356.5324482122.

The spelling of 45320760 in words is "forty-five million, three hundred twenty thousand, seven hundred sixty".