634443264 has 480 divisors, whose sum is σ = 2412970560. Its totient is φ = 155713536.

The previous prime is 634443263. The next prime is 634443319. The reversal of 634443264 is 462344436.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634443263) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7128532 + ... + 7128620.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2^634443264 is an apocalyptic number.

634443264 is a gapful number since it is divisible by the number (64) 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 634443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206485280).

634443264 is an abundant number, since it is smaller than the sum of its proper divisors (1778527296).

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

634443264 is a wasteful number, since it uses less digits than its factorization.

634443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 634443264 is about 25188.1572172321. The cubic root of 634443264 is about 859.2725342674.

The spelling of 634443264 in words is "six hundred thirty-four million, four hundred forty-three thousand, two hundred sixty-four".