45859500 has 192 divisors, whose sum is σ = 153753600. Its totient is φ = 11793600.

The previous prime is 45859477. The next prime is 45859501. The reversal of 45859500 is 595854.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45859501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580461 + ... + 580539.

It is an arithmetic number, because the mean of its divisors is an integer number (800800).

Almost surely, 2^45859500 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 45859500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876800).

45859500 is an abundant number, since it is smaller than the sum of its proper divisors (107894100).

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

45859500 is a wasteful number, since it uses less digits than its factorization.

45859500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 45859500 is about 6771.9642645247. The cubic root of 45859500 is about 357.9396192498.

The spelling of 45859500 in words is "forty-five million, eight hundred fifty-nine thousand, five hundred".