230209674240 has 704 divisors, whose sum is σ = 915148523520. Its totient is φ = 48094248960.

The previous prime is 230209674221. The next prime is 230209674251. The reversal of 230209674240 is 42476902032.

It is a happy number.

It is a super-2 number, since 2×230209674240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 152355085 + ... + 152356595.

It is an arithmetic number, because the mean of its divisors is an integer number (1299926880).

Almost surely, 2^230209674240 is an apocalyptic number.

230209674240 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 230209674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457574261760).

230209674240 is an abundant number, since it is smaller than the sum of its proper divisors (684938849280).

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

230209674240 is a wasteful number, since it uses less digits than its factorization.

230209674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 230209674240 in words is "two hundred thirty billion, two hundred nine million, six hundred seventy-four thousand, two hundred forty".