8490031200 has 864 divisors, whose sum is σ = 37671588864. Its totient is φ = 1821450240.

The previous prime is 8490031169. The next prime is 8490031219. The reversal of 8490031200 is 21300948.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23133417 + ... + 23133783.

It is an arithmetic number, because the mean of its divisors is an integer number (43601376).

Almost surely, 2^8490031200 is an apocalyptic number.

8490031200 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 8490031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835794432).

8490031200 is an abundant number, since it is smaller than the sum of its proper divisors (29181557664).

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

8490031200 is a wasteful number, since it uses less digits than its factorization.

8490031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8490031200 is about 92141.3653035378. The cubic root of 8490031200 is about 2040.0294113407.

The spelling of 8490031200 in words is "eight billion, four hundred ninety million, thirty-one thousand, two hundred".