1348230400 has 162 divisors, whose sum is σ = 3670137926. Its totient is φ = 489984000.

The previous prime is 1348230379. The next prime is 1348230419. The reversal of 1348230400 is 40328431.

It can be written as a sum of positive squares in 3 ways, for example, as 20939776 + 1327290624 = 4576^2 + 36432^2 .

It is a super-2 number, since 2×1348230400² = 3635450422968320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 773530 + ... + 775270.

Almost surely, 2^1348230400 is an apocalyptic number.

1348230400 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 1348230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835068963).

1348230400 is an abundant number, since it is smaller than the sum of its proper divisors (2321907526).

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

1348230400 is a wasteful number, since it uses less digits than its factorization.

1348230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1348230400 is about 36718.2570392441. The cubic root of 1348230400 is about 1104.7263301305.

Adding to 1348230400 its reverse (40328431), we get a palindrome (1388558831).

The spelling of 1348230400 in words is "one billion, three hundred forty-eight million, two hundred thirty thousand, four hundred".