662400 has 144 divisors (see below), whose sum is σ = 2466360. Its totient is φ = 168960.

The previous prime is 662369. The next prime is 662401. The reversal of 662400 is 4266.

662400 is a `hidden beast` number, since 662 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (662401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28789 + ... + 28811.

2⁶⁶²⁴⁰⁰ is an apocalyptic number.

662400 is a gapful number since it is divisible by the number (60) 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 662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233180).

662400 is an abundant number, since it is smaller than the sum of its proper divisors (1803960).

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

662400 is a wasteful number, since it uses less digits than its factorization.

662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

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

The square root of 662400 is about 813.8795979750. The cubic root of 662400 is about 87.1712836453.

Adding to 662400 its reverse (4266), we get a palindrome (666666).

The spelling of 662400 in words is "six hundred sixty-two thousand, four hundred".