1230448440 has 384 divisors, whose sum is σ = 4382864640. Its totient is φ = 275079168.

The previous prime is 1230448381. The next prime is 1230448441. The reversal of 1230448440 is 448440321.

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 = 1230448398 and 1230448407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230448441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14824639 + ... + 14824721.

It is an arithmetic number, because the mean of its divisors is an integer number (11413710).

Almost surely, 2^1230448440 is an apocalyptic number.

1230448440 is a gapful number since it is divisible by the number (10) 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 1230448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191432320).

1230448440 is an abundant number, since it is smaller than the sum of its proper divisors (3152416200).

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

1230448440 is a wasteful number, since it uses less digits than its factorization.

1230448440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 1230448440 is about 35077.7485024338. The cubic root of 1230448440 is about 1071.5714644721.

Adding to 1230448440 its reverse (448440321), we get a palindrome (1678888761).

The spelling of 1230448440 in words is "one billion, two hundred thirty million, four hundred forty-eight thousand, four hundred forty".