8490238400 has 252 divisors, whose sum is σ = 24976390992. Its totient is φ = 2782433280.

The previous prime is 8490238373. The next prime is 8490238517. The reversal of 8490238400 is 48320948.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5924084 + ... + 5925516.

Almost surely, 2^8490238400 is an apocalyptic number.

8490238400 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 8490238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488195496).

8490238400 is an abundant number, since it is smaller than the sum of its proper divisors (16486152592).

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

8490238400 is a wasteful number, since it uses less digits than its factorization.

8490238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 8490238400 is about 92142.4896559671. The cubic root of 8490238400 is about 2040.0460069081.

The spelling of 8490238400 in words is "eight billion, four hundred ninety million, two hundred thirty-eight thousand, four hundred".