1348901400 has 576 divisors, whose sum is σ = 5485898880. Its totient is φ = 270950400.

The previous prime is 1348901399. The next prime is 1348901423. The reversal of 1348901400 is 41098431.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13906152 + ... + 13906248.

It is an arithmetic number, because the mean of its divisors is an integer number (9524130).

Almost surely, 2^1348901400 is an apocalyptic number.

1348901400 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 1348901400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742949440).

1348901400 is an abundant number, since it is smaller than the sum of its proper divisors (4136997480).

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

1348901400 is a wasteful number, since it uses less digits than its factorization.

1348901400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1348901400 is about 36727.3930466076. The cubic root of 1348901400 is about 1104.9095699356.

Adding to 1348901400 its reverse (41098431), we get a palindrome (1389999831).

The spelling of 1348901400 in words is "one billion, three hundred forty-eight million, nine hundred one thousand, four hundred".