45858096 has 160 divisors (see below), whose sum is σ = 143244800. Its totient is φ = 13996800.

The previous prime is 45858053. The next prime is 45858097. The reversal of 45858096 is 69085854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45858097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303621 + ... + 303771.

It is an arithmetic number, because the mean of its divisors is an integer number (895280).

Almost surely, 2^45858096 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 45858096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71622400).

45858096 is an abundant number, since it is smaller than the sum of its proper divisors (97386704).

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

45858096 is a wasteful number, since it uses less digits than its factorization.

45858096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 45858096 is about 6771.8606010461. The cubic root of 45858096 is about 357.9359664090.

The spelling of 45858096 in words is "forty-five million, eight hundred fifty-eight thousand, ninety-six".