4205288394 has 64 divisors (see below), whose sum is σ = 9632597760. Its totient is φ = 1359288000.

The previous prime is 4205288393. The next prime is 4205288407. The reversal of 4205288394 is 4938825024.

4205288394 is a `hidden beast` number, since 42 + 0 + 528 + 83 + 9 + 4 = 666.

It is a super-2 number, since 2×4205288394² = 35368900953422198472, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4205288393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224884 + ... + 242864.

It is an arithmetic number, because the mean of its divisors is an integer number (150509340).

Almost surely, 2^4205288394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205288394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816298880).

4205288394 is an abundant number, since it is smaller than the sum of its proper divisors (5427309366).

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

4205288394 is a wasteful number, since it uses less digits than its factorization.

4205288394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18124 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4205288394 is about 64848.1949941554. The cubic root of 4205288394 is about 1614.1055402855.

The spelling of 4205288394 in words is "four billion, two hundred five million, two hundred eighty-eight thousand, three hundred ninety-four".