8490209280 has 416 divisors, whose sum is σ = 32711577600. Its totient is φ = 1836711936.

The previous prime is 8490209279. The next prime is 8490209293. The reversal of 8490209280 is 829020948.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8171001 + ... + 8172039.

It is an arithmetic number, because the mean of its divisors is an integer number (78633600).

Almost surely, 2^8490209280 is an apocalyptic number.

8490209280 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 8490209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355788800).

8490209280 is an abundant number, since it is smaller than the sum of its proper divisors (24221368320).

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

8490209280 is a wasteful number, since it uses less digits than its factorization.

8490209280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8490209280 is about 92142.3316396975. The cubic root of 8490209280 is about 2040.0436745744.

The spelling of 8490209280 in words is "eight billion, four hundred ninety million, two hundred nine thousand, two hundred eighty".