8287466400 has 432 divisors, whose sum is σ = 30710534400. Its totient is φ = 2180597760.

The previous prime is 8287466371. The next prime is 8287466483. The reversal of 8287466400 is 46647828.

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

It is a super-2 number, since 2×8287466400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 17301361 + ... + 17301839.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 2^8287466400 is an apocalyptic number.

8287466400 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 8287466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355267200).

8287466400 is an abundant number, since it is smaller than the sum of its proper divisors (22423068000).

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

8287466400 is a wasteful number, since it uses less digits than its factorization.

8287466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8287466400 is about 91035.5227370063. The cubic root of 8287466400 is about 2023.6741938873.

The spelling of 8287466400 in words is "eight billion, two hundred eighty-seven million, four hundred sixty-six thousand, four hundred".