45870440 has 128 divisors (see below), whose sum is σ = 131569920. Its totient is φ = 13977600.

The previous prime is 45870439. The next prime is 45870443. The reversal of 45870440 is 4407854.

It is a junction number, because it is equal to n+sod(n) for n = 45870397 and 45870406.

It is not an unprimeable number, because it can be changed into a prime (45870443) 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, 163100 + ... + 163380.

It is an arithmetic number, because the mean of its divisors is an integer number (1027890).

Almost surely, 2^45870440 is an apocalyptic number.

45870440 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 45870440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65784960).

45870440 is an abundant number, since it is smaller than the sum of its proper divisors (85699480).

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

45870440 is a wasteful number, since it uses less digits than its factorization.

45870440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 45870440 is about 6772.7719583639. The cubic root of 45870440 is about 357.9680797149.

The spelling of 45870440 in words is "forty-five million, eight hundred seventy thousand, four hundred forty".