45640144 has 40 divisors (see below), whose sum is σ = 97002720. Its totient is φ = 20630400.

The previous prime is 45640141. The next prime is 45640151. The reversal of 45640144 is 44104654.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45640141) 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, 36522 + ... + 37750.

It is an arithmetic number, because the mean of its divisors is an integer number (2425068).

Almost surely, 2^45640144 is an apocalyptic number.

45640144 is a gapful number since it is divisible by the number (44) 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 45640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48501360).

45640144 is an abundant number, since it is smaller than the sum of its proper divisors (51362576).

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

45640144 is a wasteful number, since it uses less digits than its factorization.

45640144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 45640144 is about 6755.7489592198. The cubic root of 45640144 is about 357.3680057814.

Adding to 45640144 its reverse (44104654), we get a palindrome (89744798).

The spelling of 45640144 in words is "forty-five million, six hundred forty thousand, one hundred forty-four".