1300464 has 60 divisors (see below), whose sum is σ = 3975192. Its totient is φ = 393600.

The previous prime is 1300463. The next prime is 1300471. The reversal of 1300464 is 4640031.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300463) 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 11 ways as a sum of consecutive naturals, for example, 1174 + ... + 1994.

2^1300464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987596).

1300464 is an abundant number, since it is smaller than the sum of its proper divisors (2674728).

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

1300464 is a wasteful number, since it uses less digits than its factorization.

1300464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300464 is about 1140.3788844064. The cubic root of 1300464 is about 109.1522715384.

Adding to 1300464 its reverse (4640031), we get a palindrome (5940495).

It can be divided in two parts, 1300 and 464, that added together give a square (1764 = 42²).

The spelling of 1300464 in words is "one million, three hundred thousand, four hundred sixty-four".