45057000 has 128 divisors (see below), whose sum is σ = 146914560. Its totient is φ = 11475200.

The previous prime is 45056993. The next prime is 45057007. The reversal of 45057000 is 75054.

It is an interprime number because it is at equal distance from previous prime (45056993) and next prime (45057007).

It is not an unprimeable number, because it can be changed into a prime (45057007) 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, 68674 + ... + 69326.

It is an arithmetic number, because the mean of its divisors is an integer number (1147770).

Almost surely, 2^45057000 is an apocalyptic number.

45057000 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 45057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73457280).

45057000 is an abundant number, since it is smaller than the sum of its proper divisors (101857560).

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

45057000 is a wasteful number, since it uses less digits than its factorization.

45057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 45057000 is about 6712.4511171404. The cubic root of 45057000 is about 355.8394470238.

The spelling of 45057000 in words is "forty-five million, fifty-seven thousand".