633440 has 48 divisors (see below), whose sum is σ = 1551312. Its totient is φ = 244224.

The previous prime is 633427. The next prime is 633449. The reversal of 633440 is 44336.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633449) by changing a digit.

633440 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 7 ways as a sum of consecutive naturals, for example, 5867 + ... + 5973.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2⁶³³⁴⁴⁰ 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 633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656).

633440 is an abundant number, since it is smaller than the sum of its proper divisors (917872).

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

633440 is a wasteful number, since it uses less digits than its factorization.

633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 633440 is about 795.8894395580. The cubic root of 633440 is about 85.8819364243.

Adding to 633440 its reverse (44336), we get a palindrome (677776).

The spelling of 633440 in words is "six hundred thirty-three thousand, four hundred forty".