8295242400 has 432 divisors, whose sum is σ = 30812902848. Its totient is φ = 2177280000.

The previous prime is 8295242383. The next prime is 8295242437. The reversal of 8295242400 is 42425928.

8295242400 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 242 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8295242400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13802100 + ... + 13802700.

It is an arithmetic number, because the mean of its divisors is an integer number (71326164).

Almost surely, 2^8295242400 is an apocalyptic number.

8295242400 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 8295242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406451424).

8295242400 is an abundant number, since it is smaller than the sum of its proper divisors (22517660448).

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

8295242400 is a wasteful number, since it uses less digits than its factorization.

8295242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8295242400 is about 91078.2213265059. The cubic root of 8295242400 is about 2024.3069233084.

The spelling of 8295242400 in words is "eight billion, two hundred ninety-five million, two hundred forty-two thousand, four hundred".