40902800 has 60 divisors (see below), whose sum is σ = 98886900. Its totient is φ = 16258560.

The previous prime is 40902793. The next prime is 40902811. The reversal of 40902800 is 820904.

It can be written as a sum of positive squares in 6 ways, for example, as 2611456 + 38291344 = 1616^2 + 6188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117026 + ... + 117374.

It is an arithmetic number, because the mean of its divisors is an integer number (1648115).

Almost surely, 2^40902800 is an apocalyptic number.

40902800 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 40902800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49443450).

40902800 is an abundant number, since it is smaller than the sum of its proper divisors (57984100).

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

40902800 is a wasteful number, since it uses less digits than its factorization.

40902800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 40902800 is about 6395.5296887748. The cubic root of 40902800 is about 344.5490151532.

The spelling of 40902800 in words is "forty million, nine hundred two thousand, eight hundred".