40294800 has 480 divisors, whose sum is σ = 180821760. Its totient is φ = 8294400.

The previous prime is 40294799. The next prime is 40294847. The reversal of 40294800 is 849204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982780 + ... + 982820.

It is an arithmetic number, because the mean of its divisors is an integer number (376712).

Almost surely, 2^40294800 is an apocalyptic number.

40294800 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 40294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

40294800 is an abundant number, since it is smaller than the sum of its proper divisors (140526960).

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

40294800 is a wasteful number, since it uses less digits than its factorization.

40294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40294800 is about 6347.8185229258. The cubic root of 40294800 is about 342.8333019137.

Adding to 40294800 its product of nonzero digits (2304), we get a square (40297104 = 6348²).

The spelling of 40294800 in words is "forty million, two hundred ninety-four thousand, eight hundred".