45023160 has 384 divisors, whose sum is σ = 183859200. Its totient is φ = 8709120.

The previous prime is 45023149. The next prime is 45023161. The reversal of 45023160 is 6132054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45023161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1452345 + ... + 1452375.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^45023160 is an apocalyptic number.

45023160 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 45023160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

45023160 is an abundant number, since it is smaller than the sum of its proper divisors (138836040).

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

45023160 is a wasteful number, since it uses less digits than its factorization.

45023160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45023160 is about 6709.9299549250. The cubic root of 45023160 is about 355.7503404643.

The spelling of 45023160 in words is "forty-five million, twenty-three thousand, one hundred sixty".