13400464 has 80 divisors (see below), whose sum is σ = 33033600. Its totient is φ = 5114880.

The previous prime is 13400459. The next prime is 13400479. The reversal of 13400464 is 46400431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89862 + ... + 90010.

It is an arithmetic number, because the mean of its divisors is an integer number (412920).

Almost surely, 2^13400464 is an apocalyptic number.

13400464 is a gapful number since it is divisible by the number (14) 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 13400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516800).

13400464 is an abundant number, since it is smaller than the sum of its proper divisors (19633136).

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

13400464 is a wasteful number, since it uses less digits than its factorization.

13400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 13400464 is about 3660.6644205663. The cubic root of 13400464 is about 237.5235153078.

Adding to 13400464 its reverse (46400431), we get a palindrome (59800895).

The spelling of 13400464 in words is "thirteen million, four hundred thousand, four hundred sixty-four".