4205397280 has 192 divisors, whose sum is σ = 12053422080. Its totient is φ = 1355295744.

The previous prime is 4205397277. The next prime is 4205397331. The reversal of 4205397280 is 827935024.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1518457 + ... + 1521223.

It is an arithmetic number, because the mean of its divisors is an integer number (62778240).

Almost surely, 2^4205397280 is an apocalyptic number.

4205397280 is a gapful number since it is divisible by the number (40) 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 4205397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026711040).

4205397280 is an abundant number, since it is smaller than the sum of its proper divisors (7848024800).

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

4205397280 is a wasteful number, since it uses less digits than its factorization.

4205397280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 4205397280 is about 64849.0345340623. The cubic root of 4205397280 is about 1614.1194713142.

The spelling of 4205397280 in words is "four billion, two hundred five million, three hundred ninety-seven thousand, two hundred eighty".