1309268400 has 360 divisors, whose sum is σ = 4711698432. Its totient is φ = 310464000.

The previous prime is 1309268393. The next prime is 1309268453. The reversal of 1309268400 is 48629031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10309137 + ... + 10309263.

Almost surely, 2^1309268400 is an apocalyptic number.

1309268400 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 1309268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355849216).

1309268400 is an abundant number, since it is smaller than the sum of its proper divisors (3402430032).

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

1309268400 is a wasteful number, since it uses less digits than its factorization.

1309268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1309268400 is about 36183.8140609859. The cubic root of 1309268400 is about 1093.9804525560.

The spelling of 1309268400 in words is "one billion, three hundred nine million, two hundred sixty-eight thousand, four hundred".