45225840 has 160 divisors (see below), whose sum is σ = 157418496. Its totient is φ = 10644480.

The previous prime is 45225839. The next prime is 45225847. The reversal of 45225840 is 4852254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45225798 and 45225807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45225847) 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, 97449 + ... + 97911.

Almost surely, 2^45225840 is an apocalyptic number.

45225840 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 45225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78709248).

45225840 is an abundant number, since it is smaller than the sum of its proper divisors (112192656).

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

45225840 is a wasteful number, since it uses less digits than its factorization.

45225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45225840 is about 6725.0159851111. The cubic root of 45225840 is about 356.2833665270.

The spelling of 45225840 in words is "forty-five million, two hundred twenty-five thousand, eight hundred forty".