810248400 has 480 divisors, whose sum is σ = 3228960000. Its totient is φ = 191600640.

The previous prime is 810248363. The next prime is 810248401. The reversal of 810248400 is 4842018.

810248400 is a `hidden beast` number, since 8 + 10 + 248 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810248401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4071501 + ... + 4071699.

It is an arithmetic number, because the mean of its divisors is an integer number (6727000).

Almost surely, 2^810248400 is an apocalyptic number.

810248400 is a gapful number since it is divisible by the number (80) 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 810248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614480000).

810248400 is an abundant number, since it is smaller than the sum of its proper divisors (2418711600).

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

810248400 is a wasteful number, since it uses less digits than its factorization.

810248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 810248400 is about 28464.8625501688. The cubic root of 810248400 is about 932.2650305107.

The spelling of 810248400 in words is "eight hundred ten million, two hundred forty-eight thousand, four hundred".