1301344400 has 30 divisors (see below), whose sum is σ = 3126480882. Its totient is φ = 520537600.

The previous prime is 1301344361. The next prime is 1301344423. The reversal of 1301344400 is 44431031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1597696 + 1299746704 = 1264^2 + 36052^2 .

It is a super-2 number, since 2×1301344400² = 3386994494822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1626281 + ... + 1627080.

Almost surely, 2^1301344400 is an apocalyptic number.

1301344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301344400 is an abundant number, since it is smaller than the sum of its proper divisors (1825136482).

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

1301344400 is a wasteful number, since it uses less digits than its factorization.

1301344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253379 (or 3253368 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1301344400 is about 36074.1514106708. The cubic root of 1301344400 is about 1091.7689761607.

Adding to 1301344400 its reverse (44431031), we get a palindrome (1345775431).

The spelling of 1301344400 in words is "one billion, three hundred one million, three hundred forty-four thousand, four hundred".