8238192480 has 480 divisors, whose sum is σ = 33721712640. Its totient is φ = 1855042560.

The previous prime is 8238192449. The next prime is 8238192493. The reversal of 8238192480 is 842918328.

8238192480 is a `hidden beast` number, since 8 + 2 + 3 + 81 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6440481 + ... + 6441759.

It is an arithmetic number, because the mean of its divisors is an integer number (70253568).

Almost surely, 2^8238192480 is an apocalyptic number.

8238192480 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 8238192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16860856320).

8238192480 is an abundant number, since it is smaller than the sum of its proper divisors (25483520160).

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

8238192480 is a wasteful number, since it uses less digits than its factorization.

8238192480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8238192480 is about 90764.4890912740. The cubic root of 8238192480 is about 2019.6555698077.

The spelling of 8238192480 in words is "eight billion, two hundred thirty-eight million, one hundred ninety-two thousand, four hundred eighty".