45405440 has 72 divisors (see below), whose sum is σ = 114545760. Its totient is φ = 17197056.

The previous prime is 45405439. The next prime is 45405449. The reversal of 45405440 is 4450454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45405449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23387 + ... + 25253.

Almost surely, 2^45405440 is an apocalyptic number.

45405440 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 45405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57272880).

45405440 is an abundant number, since it is smaller than the sum of its proper divisors (69140320).

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

45405440 is a wasteful number, since it uses less digits than its factorization.

45405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 45405440 is about 6738.3558825577. The cubic root of 45405440 is about 356.7543655231.

Adding to 45405440 its reverse (4450454), we get a palindrome (49855894).

The spelling of 45405440 in words is "forty-five million, four hundred five thousand, four hundred forty".