45331440 has 240 divisors, whose sum is σ = 177321984. Its totient is φ = 9377280.

The previous prime is 45331439. The next prime is 45331457. The reversal of 45331440 is 4413354.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45331440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203169 + ... + 203391.

Almost surely, 2^45331440 is an apocalyptic number.

45331440 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 45331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

45331440 is an abundant number, since it is smaller than the sum of its proper divisors (131990544).

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

45331440 is a wasteful number, since it uses less digits than its factorization.

45331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45331440 is about 6732.8626898222. The cubic root of 45331440 is about 356.5604520636.

Adding to 45331440 its reverse (4413354), we get a palindrome (49744794).

It can be divided in two parts, 453314 and 40, that added together give a palindrome (453354).

The spelling of 45331440 in words is "forty-five million, three hundred thirty-one thousand, four hundred forty".