230246677440 has 448 divisors, whose sum is σ = 878333137920. Its totient is φ = 56443392000.

The previous prime is 230246677421. The next prime is 230246677489. The reversal of 230246677440 is 44776642032.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28188237 + ... + 28196403.

It is an arithmetic number, because the mean of its divisors is an integer number (1960565040).

Almost surely, 2^230246677440 is an apocalyptic number.

230246677440 is a gapful number since it is divisible by the number (20) 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 230246677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439166568960).

230246677440 is an abundant number, since it is smaller than the sum of its proper divisors (648086460480).

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

230246677440 is a wasteful number, since it uses less digits than its factorization.

230246677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 230246677440 in words is "two hundred thirty billion, two hundred forty-six million, six hundred seventy-seven thousand, four hundred forty".