230761440 has 384 divisors, whose sum is σ = 995742720. Its totient is φ = 48605184.

The previous prime is 230761429. The next prime is 230761457. The reversal of 230761440 is 44167032.

230761440 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 614 + 40 = 666.

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

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, 392827 + ... + 393413.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^230761440 is an apocalyptic number.

230761440 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 230761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497871360).

230761440 is an abundant number, since it is smaller than the sum of its proper divisors (764981280).

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

230761440 is a wasteful number, since it uses less digits than its factorization.

230761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230761440 is about 15190.8340784830. The cubic root of 230761440 is about 613.3679512072.

The spelling of 230761440 in words is "two hundred thirty million, seven hundred sixty-one thousand, four hundred forty".