45524640 has 192 divisors, whose sum is σ = 173746944. Its totient is φ = 9781248.

The previous prime is 45524629. The next prime is 45524641. The reversal of 45524640 is 4642554.

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 = 45524598 and 45524607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45524641) 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, 56722 + ... + 57518.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^45524640 is an apocalyptic number.

45524640 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 45524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

45524640 is an abundant number, since it is smaller than the sum of its proper divisors (128222304).

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

45524640 is a wasteful number, since it uses less digits than its factorization.

45524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45524640 is about 6747.1949727276. The cubic root of 45524640 is about 357.0662808774.

It can be divided in two parts, 45524 and 640, that added together give a palindrome (46164).

The spelling of 45524640 in words is "forty-five million, five hundred twenty-four thousand, six hundred forty".