230404387752 has 384 divisors, whose sum is σ = 821966745600. Its totient is φ = 56550412800.

The previous prime is 230404387727. The next prime is 230404387769. The reversal of 230404387752 is 257783404032.

230404387752 is a `hidden beast` number, since 230 + 404 + 3 + 8 + 7 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×230404387752² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230404387698 and 230404387707.

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, 7541227 + ... + 7571717.

It is an arithmetic number, because the mean of its divisors is an integer number (2140538400).

Almost surely, 2^230404387752 is an apocalyptic number.

230404387752 is a gapful number since it is divisible by the number (22) 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 230404387752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410983372800).

230404387752 is an abundant number, since it is smaller than the sum of its proper divisors (591562357848).

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

230404387752 is a wasteful number, since it uses less digits than its factorization.

230404387752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30597 (or 30590 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 230404387752 in words is "two hundred thirty billion, four hundred four million, three hundred eighty-seven thousand, seven hundred fifty-two".