45735160 has 32 divisors (see below), whose sum is σ = 103096800. Its totient is φ = 18259840.

The previous prime is 45735143. The next prime is 45735161. The reversal of 45735160 is 6153754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45735161) 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, 40686 + ... + 41794.

It is an arithmetic number, because the mean of its divisors is an integer number (3221775).

Almost surely, 2^45735160 is an apocalyptic number.

45735160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45735160 is an abundant number, since it is smaller than the sum of its proper divisors (57361640).

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

45735160 is a wasteful number, since it uses less digits than its factorization.

45735160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 45735160 is about 6762.7775358946. Note that the first 3 decimals coincide. The cubic root of 45735160 is about 357.6158295839.

The spelling of 45735160 in words is "forty-five million, seven hundred thirty-five thousand, one hundred sixty".