45897040 has 80 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 15344640.

The previous prime is 45897037. The next prime is 45897043. The reversal of 45897040 is 4079854.

It is an interprime number because it is at equal distance from previous prime (45897037) and next prime (45897043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45897043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21961 + ... + 23959.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^45897040 is an apocalyptic number.

45897040 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 45897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

45897040 is an abundant number, since it is smaller than the sum of its proper divisors (79094960).

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

45897040 is a wasteful number, since it uses less digits than its factorization.

45897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 45897040 is about 6774.7354191880. The cubic root of 45897040 is about 358.0372608763.

The spelling of 45897040 in words is "forty-five million, eight hundred ninety-seven thousand, forty".