45205440 has 252 divisors, whose sum is σ = 172519848. Its totient is φ = 9999360.

The previous prime is 45205439. The next prime is 45205451. The reversal of 45205440 is 4450254.

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 45205440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1458225 + ... + 1458255.

Almost surely, 2^45205440 is an apocalyptic number.

45205440 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 45205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86259924).

45205440 is an abundant number, since it is smaller than the sum of its proper divisors (127314408).

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

45205440 is a wasteful number, since it uses less digits than its factorization.

45205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45205440 is about 6723.4990890161. The cubic root of 45205440 is about 356.2297889427.

Adding to 45205440 its reverse (4450254), we get a palindrome (49655694).

The spelling of 45205440 in words is "forty-five million, two hundred five thousand, four hundred forty".