45325440 has 256 divisors, whose sum is σ = 166953600. Its totient is φ = 11612160.

The previous prime is 45325439. The next prime is 45325447. The reversal of 45325440 is 4452354.

It is a super-2 number, since 2×45325440² = 4108791022387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45325447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743010 + ... + 743070.

Almost surely, 2^45325440 is an apocalyptic number.

45325440 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 45325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

45325440 is an abundant number, since it is smaller than the sum of its proper divisors (121628160).

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

45325440 is a wasteful number, since it uses less digits than its factorization.

45325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45325440 is about 6732.4170993782. The cubic root of 45325440 is about 356.5447201043.

Adding to 45325440 its reverse (4452354), we get a palindrome (49777794).

The spelling of 45325440 in words is "forty-five million, three hundred twenty-five thousand, four hundred forty".