40200300 has 180 divisors, whose sum is σ = 149139760. Its totient is φ = 9175680.

The previous prime is 40200287. The next prime is 40200301. The reversal of 40200300 is 300204.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (40200301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56346 + ... + 57054.

Almost surely, 2^40200300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74569880).

40200300 is an abundant number, since it is smaller than the sum of its proper divisors (108939460).

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

40200300 is a wasteful number, since it uses less digits than its factorization.

40200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 40200300 is about 6340.3706516260. The cubic root of 40200300 is about 342.5650861087.

Adding to 40200300 its reverse (300204), we get a palindrome (40500504).

The spelling of 40200300 in words is "forty million, two hundred thousand, three hundred".