663400 has 48 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 254400.

The previous prime is 663371. The next prime is 663407. The reversal of 663400 is 4366.

It is a happy number.

663400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (663407) by changing a digit.

663400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6147 + ... + 6253.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁶⁶³⁴⁰⁰ 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 663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

663400 is an abundant number, since it is smaller than the sum of its proper divisors (943640).

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

663400 is a wasteful number, since it uses less digits than its factorization.

663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 663400 is about 814.4937077719. The cubic root of 663400 is about 87.2151279760.

Adding to 663400 its reverse (4366), we get a palindrome (667766).

The spelling of 663400 in words is "six hundred sixty-three thousand, four hundred".