8468210400 has 288 divisors, whose sum is σ = 30134821248. Its totient is φ = 2052864000.

The previous prime is 8468210353. The next prime is 8468210437. The reversal of 8468210400 is 40128648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2088375 + ... + 2092425.

It is an arithmetic number, because the mean of its divisors is an integer number (104634796).

Almost surely, 2^8468210400 is an apocalyptic number.

8468210400 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 8468210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067410624).

8468210400 is an abundant number, since it is smaller than the sum of its proper divisors (21666610848).

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

8468210400 is a wasteful number, since it uses less digits than its factorization.

8468210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8468210400 is about 92022.8797636762. The cubic root of 8468210400 is about 2038.2801729559.

The spelling of 8468210400 in words is "eight billion, four hundred sixty-eight million, two hundred ten thousand, four hundred".