45525940 has 48 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 17239040.

The previous prime is 45525937. The next prime is 45525943. The reversal of 45525940 is 4952554.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45525937) and next prime (45525943).

It can be written as a sum of positive squares in 8 ways, for example, as 17424 + 45508516 = 132^2 + 6746^2 .

It is a super-2 number, since 2×45525940² = 4145222425767200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45525896 and 45525905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45525943) 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, 30000 + ... + 31480.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^45525940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45525940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

45525940 is an abundant number, since it is smaller than the sum of its proper divisors (55309340).

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

45525940 is a wasteful number, since it uses less digits than its factorization.

45525940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 45525940 is about 6747.2913083696. The cubic root of 45525940 is about 357.0696796357.

The spelling of 45525940 in words is "forty-five million, five hundred twenty-five thousand, nine hundred forty".