45705192 has 64 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 13984512.

The previous prime is 45705169. The next prime is 45705193. The reversal of 45705192 is 29150754.

It is not an unprimeable number, because it can be changed into a prime (45705193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81778 + ... + 82334.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^45705192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45705192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

45705192 is an abundant number, since it is smaller than the sum of its proper divisors (78036888).

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

45705192 is a wasteful number, since it uses less digits than its factorization.

45705192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 45705192 is about 6760.5615151406. The cubic root of 45705192 is about 357.5377031649.

The spelling of 45705192 in words is "forty-five million, seven hundred five thousand, one hundred ninety-two".