4230293760 has 864 divisors, whose sum is σ = 19284894720. Its totient is φ = 829440000.

The previous prime is 4230293747. The next prime is 4230293783. The reversal of 4230293760 is 673920324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16853635 + ... + 16853885.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^4230293760 is an apocalyptic number.

4230293760 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 4230293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642447360).

4230293760 is an abundant number, since it is smaller than the sum of its proper divisors (15054600960).

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

4230293760 is a wasteful number, since it uses less digits than its factorization.

4230293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4230293760 is about 65040.7084832261. The cubic root of 4230293760 is about 1617.2984695091.

The spelling of 4230293760 in words is "four billion, two hundred thirty million, two hundred ninety-three thousand, seven hundred sixty".