1310774400 has 480 divisors, whose sum is σ = 5222517300. Its totient is φ = 321822720.

The previous prime is 1310774359. The next prime is 1310774401. The reversal of 1310774400 is 44770131.

It can be written as a sum of positive squares in 6 ways, for example, as 121352256 + 1189422144 = 11016^2 + 34488^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1310774401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369406 + ... + 3369794.

Almost surely, 2^1310774400 is an apocalyptic number.

1310774400 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 1310774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611258650).

1310774400 is an abundant number, since it is smaller than the sum of its proper divisors (3911742900).

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

1310774400 is a wasteful number, since it uses less digits than its factorization.

1310774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1310774400 is about 36204.6184899109. The cubic root of 1310774400 is about 1094.3997460757.

The spelling of 1310774400 in words is "one billion, three hundred ten million, seven hundred seventy-four thousand, four hundred".