8241008400 has 405 divisors, whose sum is σ = 30724996861. Its totient is φ = 2045091840.

The previous prime is 8241008389. The next prime is 8241008459. The reversal of 8241008400 is 48001428.

The square root of 8241008400 is 90780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5558597136 + 2682411264 = 74556^2 + 51792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 92595556 + ... + 92595644.

Almost surely, 2^8241008400 is an apocalyptic number.

8241008400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8241008400 is the 90780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8241008400

8241008400 is an abundant number, since it is smaller than the sum of its proper divisors (22483988461).

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

8241008400 is a wasteful number, since it uses less digits than its factorization.

8241008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 116 counting only the distinct ones).

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

The cubic root of 8241008400 is about 2019.8856583319.

Adding to 8241008400 its reverse (48001428), we get a palindrome (8289009828).

The spelling of 8241008400 in words is "eight billion, two hundred forty-one million, eight thousand, four hundred".