4301604090 has 256 divisors, whose sum is σ = 13592448000. Its totient is φ = 947552256.

The previous prime is 4301604079. The next prime is 4301604103. The reversal of 4301604090 is 904061034.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9580186 + ... + 9580634.

It is an arithmetic number, because the mean of its divisors is an integer number (53095500).

Almost surely, 2^4301604090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4301604090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796224000).

4301604090 is an abundant number, since it is smaller than the sum of its proper divisors (9290843910).

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

4301604090 is a wasteful number, since it uses less digits than its factorization.

4301604090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4301604090 is about 65586.6151741344. The cubic root of 4301604090 is about 1626.3355130688.

The spelling of 4301604090 in words is "four billion, three hundred one million, six hundred four thousand, ninety".