8464400 has 60 divisors (see below), whose sum is σ = 23248512. Its totient is φ = 2901120.

The previous prime is 8464397. The next prime is 8464403. The reversal of 8464400 is 44648.

It is an interprime number because it is at equal distance from previous prime (8464397) and next prime (8464403).

It is a self number, because there is not a number n which added to its sum of digits gives 8464400.

It is not an unprimeable number, because it can be changed into a prime (8464403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289 + ... + 4311.

Almost surely, 2^8464400 is an apocalyptic number.

8464400 is a gapful number since it is divisible by the number (80) 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 8464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256).

8464400 is an abundant number, since it is smaller than the sum of its proper divisors (14784112).

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

8464400 is a wasteful number, since it uses less digits than its factorization.

8464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 8464400 is about 2909.3641917092. The cubic root of 8464400 is about 203.7974408707.

It can be divided in two parts, 8464 and 400, that multiplied together give a square (3385600 = 1840²).

The spelling of 8464400 in words is "eight million, four hundred sixty-four thousand, four hundred".