45872440 has 64 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 17633280.

The previous prime is 45872429. The next prime is 45872447. The reversal of 45872440 is 4427854.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45872396 and 45872405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45872447) 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, 135952 + ... + 136288.

Almost surely, 2^45872440 is an apocalyptic number.

45872440 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 45872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

45872440 is an abundant number, since it is smaller than the sum of its proper divisors (61449320).

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

45872440 is a wasteful number, since it uses less digits than its factorization.

45872440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 45872440 is about 6772.9196067870. The cubic root of 45872440 is about 357.9732822357.

The spelling of 45872440 in words is "forty-five million, eight hundred seventy-two thousand, four hundred forty".