1309478400 has 360 divisors, whose sum is σ = 4871370504. Its totient is φ = 348364800.

The previous prime is 1309478393. The next prime is 1309478419. The reversal of 1309478400 is 48749031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110190 + ... + 3110610.

Almost surely, 2^1309478400 is an apocalyptic number.

1309478400 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 1309478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435685252).

1309478400 is an abundant number, since it is smaller than the sum of its proper divisors (3561892104).

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

1309478400 is an frugal number, since it uses more digits than its factorization.

1309478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1309478400 is about 36186.7157946117. The cubic root of 1309478400 is about 1094.0389390648.

The spelling of 1309478400 in words is "one billion, three hundred nine million, four hundred seventy-eight thousand, four hundred".