1301486400 has 336 divisors, whose sum is σ = 4852903680. Its totient is φ = 339148800.

The previous prime is 1301486387. The next prime is 1301486401. The reversal of 1301486400 is 46841031.

1301486400 is a `hidden beast` number, since 1 + 3 + 0 + 14 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030080 + ... + 2030720.

Almost surely, 2^1301486400 is an apocalyptic number.

1301486400 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 1301486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426451840).

1301486400 is an abundant number, since it is smaller than the sum of its proper divisors (3551417280).

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

1301486400 is a wasteful number, since it uses less digits than its factorization.

1301486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1301486400 is about 36076.1195252483. The cubic root of 1301486400 is about 1091.8086852380.

The spelling of 1301486400 in words is "one billion, three hundred one million, four hundred eighty-six thousand, four hundred".