1300466400 has 288 divisors, whose sum is σ = 4524710400. Its totient is φ = 324380160.

The previous prime is 1300466389. The next prime is 1300466407. The reversal of 1300466400 is 46640031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300466407) 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, 16461561 + ... + 16461639.

It is an arithmetic number, because the mean of its divisors is an integer number (15710800).

Almost surely, 2^1300466400 is an apocalyptic number.

1300466400 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 1300466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262355200).

1300466400 is an abundant number, since it is smaller than the sum of its proper divisors (3224244000).

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

1300466400 is an equidigital number, since it uses as much as digits as its factorization.

1300466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1300466400 is about 36061.9799789196. The cubic root of 1300466400 is about 1091.5233868505.

The spelling of 1300466400 in words is "one billion, three hundred million, four hundred sixty-six thousand, four hundred".