6232270440 has 256 divisors, whose sum is σ = 21500743680. Its totient is φ = 1430415360.

The previous prime is 6232270381. The next prime is 6232270459. The reversal of 6232270440 is 440722326.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6232270398 and 6232270407.

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, 3126084 + ... + 3128076.

It is an arithmetic number, because the mean of its divisors is an integer number (83987280).

Almost surely, 2^6232270440 is an apocalyptic number.

6232270440 is a gapful number since it is divisible by the number (60) 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 6232270440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750371840).

6232270440 is an abundant number, since it is smaller than the sum of its proper divisors (15268473240).

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

6232270440 is a wasteful number, since it uses less digits than its factorization.

6232270440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 6232270440 is about 78944.7302864479. The cubic root of 6232270440 is about 1840.2723328792.

Adding to 6232270440 its reverse (440722326), we get a palindrome (6672992766).

It can be divided in two parts, 6232 and 270440, that added together give a palindrome (276672).

The spelling of 6232270440 in words is "six billion, two hundred thirty-two million, two hundred seventy thousand, four hundred forty".