40245600 has 144 divisors (see below), whose sum is σ = 134522640. Its totient is φ = 10444800.

The previous prime is 40245599. The next prime is 40245617. The reversal of 40245600 is 654204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98196 + ... + 98604.

It is an arithmetic number, because the mean of its divisors is an integer number (934185).

Almost surely, 2^40245600 is an apocalyptic number.

40245600 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 40245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67261320).

40245600 is an abundant number, since it is smaller than the sum of its proper divisors (94277040).

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

40245600 is a wasteful number, since it uses less digits than its factorization.

40245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40245600 is about 6343.9419921686. The cubic root of 40245600 is about 342.6937117916.

Adding to 40245600 its reverse (654204), we get a palindrome (40899804).

The spelling of 40245600 in words is "forty million, two hundred forty-five thousand, six hundred".