633481440 has 192 divisors, whose sum is σ = 2091168576. Its totient is φ = 161021952.

The previous prime is 633481439. The next prime is 633481469. The reversal of 633481440 is 44184336.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 940944 + ... + 941616.

It is an arithmetic number, because the mean of its divisors is an integer number (10891503).

Almost surely, 2^633481440 is an apocalyptic number.

633481440 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 633481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045584288).

633481440 is an abundant number, since it is smaller than the sum of its proper divisors (1457687136).

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

633481440 is a wasteful number, since it uses less digits than its factorization.

633481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 633481440 is about 25169.0571933078. The cubic root of 633481440 is about 858.8380919824.

The spelling of 633481440 in words is "six hundred thirty-three million, four hundred eighty-one thousand, four hundred forty".