1336306400 has 144 divisors (see below), whose sum is σ = 3832910928. Its totient is φ = 448512000.

The previous prime is 1336306381. The next prime is 1336306441. The reversal of 1336306400 is 46036331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1336306400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108560 + ... + 120240.

It is an arithmetic number, because the mean of its divisors is an integer number (26617437).

Almost surely, 2^1336306400 is an apocalyptic number.

1336306400 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 1336306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916455464).

1336306400 is an abundant number, since it is smaller than the sum of its proper divisors (2496604528).

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

1336306400 is a wasteful number, since it uses less digits than its factorization.

1336306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11725 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 1336306400 is about 36555.5248902269. The cubic root of 1336306400 is about 1101.4598798255.

The spelling of 1336306400 in words is "one billion, three hundred thirty-six million, three hundred six thousand, four hundred".