45535840 has 96 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 15427584.

The previous prime is 45535823. The next prime is 45535873. The reversal of 45535840 is 4853554.

It is a junction number, because it is equal to n+sod(n) for n = 45535796 and 45535805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121894 + ... + 122266.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 2^45535840 is an apocalyptic number.

45535840 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 45535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

45535840 is an abundant number, since it is smaller than the sum of its proper divisors (78871520).

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

45535840 is a wasteful number, since it uses less digits than its factorization.

45535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 45535840 is about 6748.0248962196. The cubic root of 45535840 is about 357.0955603653.

The spelling of 45535840 in words is "forty-five million, five hundred thirty-five thousand, eight hundred forty".