45358500 has 96 divisors (see below), whose sum is σ = 144144000. Its totient is φ = 10992000.

The previous prime is 45358409. The next prime is 45358501. The reversal of 45358500 is 585354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45358501) 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, 15126 + ... + 17874.

It is an arithmetic number, because the mean of its divisors is an integer number (1501500).

Almost surely, 2^45358500 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 45358500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072000).

45358500 is an abundant number, since it is smaller than the sum of its proper divisors (98785500).

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

45358500 is a wasteful number, since it uses less digits than its factorization.

45358500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 45358500 is about 6734.8719364217. The cubic root of 45358500 is about 356.6313859571.

The spelling of 45358500 in words is "forty-five million, three hundred fifty-eight thousand, five hundred".