40256800 has 36 divisors (see below), whose sum is σ = 98278866. Its totient is φ = 16102400.

The previous prime is 40256789. The next prime is 40256807. The reversal of 40256800 is 865204.

It can be written as a sum of positive squares in 3 ways, for example, as 33223696 + 7033104 = 5764^2 + 2652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40256807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24361 + ... + 25960.

Almost surely, 2^40256800 is an apocalyptic number.

40256800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40256800 is an abundant number, since it is smaller than the sum of its proper divisors (58022066).

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

40256800 is a wasteful number, since it uses less digits than its factorization.

40256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50341 (or 50328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 40256800 is about 6344.8246626680. The cubic root of 40256800 is about 342.7254984017.

The spelling of 40256800 in words is "forty million, two hundred fifty-six thousand, eight hundred".