635938464 has 240 divisors, whose sum is σ = 2032853760. Its totient is φ = 173859840.

The previous prime is 635938453. The next prime is 635938549. The reversal of 635938464 is 464839536.

635938464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7145332 + ... + 7145420.

It is an arithmetic number, because the mean of its divisors is an integer number (8470224).

Almost surely, 2^635938464 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 635938464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016426880).

635938464 is an abundant number, since it is smaller than the sum of its proper divisors (1396915296).

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

635938464 is an equidigital number, since it uses as much as digits as its factorization.

635938464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 635938464 is about 25217.8203657652. The cubic root of 635938464 is about 859.9470239587.

The spelling of 635938464 in words is "six hundred thirty-five million, nine hundred thirty-eight thousand, four hundred sixty-four".