45395000 has 80 divisors (see below), whose sum is σ = 121648560. Its totient is φ = 15552000.

The previous prime is 45394991. The next prime is 45395003. The reversal of 45395000 is 59354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45395003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34352 + ... + 35648.

It is an arithmetic number, because the mean of its divisors is an integer number (1520607).

Almost surely, 2^45395000 is an apocalyptic number.

45395000 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 45395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60824280).

45395000 is an abundant number, since it is smaller than the sum of its proper divisors (76253560).

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

45395000 is a wasteful number, since it uses less digits than its factorization.

45395000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 45395000 is about 6737.5811683422. The cubic root of 45395000 is about 356.7270207741.

The spelling of 45395000 in words is "forty-five million, three hundred ninety-five thousand".