45995840 has 112 divisors (see below), whose sum is σ = 121798080. Its totient is φ = 16404480.

The previous prime is 45995839. The next prime is 45995843. The reversal of 45995840 is 4859954.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 45995791 and 45995800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45995843) 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, 256871 + ... + 257049.

Almost surely, 2^45995840 is an apocalyptic number.

45995840 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 45995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60899040).

45995840 is an abundant number, since it is smaller than the sum of its proper divisors (75802240).

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

45995840 is a wasteful number, since it uses less digits than its factorization.

45995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 45995840 is about 6782.0232969225. The cubic root of 45995840 is about 358.2939857041.

The spelling of 45995840 in words is "forty-five million, nine hundred ninety-five thousand, eight hundred forty".