8466530400 has 288 divisors, whose sum is σ = 32423237280. Its totient is φ = 2124840960.

The previous prime is 8466530377. The next prime is 8466530407. The reversal of 8466530400 is 40356648.

8466530400 is a `hidden beast` number, since 84 + 6 + 6 + 530 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8466530407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355672 + ... + 378728.

It is an arithmetic number, because the mean of its divisors is an integer number (112580685).

Almost surely, 2^8466530400 is an apocalyptic number.

8466530400 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 8466530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211618640).

8466530400 is an abundant number, since it is smaller than the sum of its proper divisors (23956706880).

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

8466530400 is a wasteful number, since it uses less digits than its factorization.

8466530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23103 (or 23084 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8466530400 is about 92013.7511462281. The cubic root of 8466530400 is about 2038.1453732362.

The spelling of 8466530400 in words is "eight billion, four hundred sixty-six million, five hundred thirty thousand, four hundred".