634473840 has 640 divisors, whose sum is σ = 2799820800. Its totient is φ = 114462720.

The previous prime is 634473823. The next prime is 634473863. The reversal of 634473840 is 48374436.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4564491 + ... + 4564629.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^634473840 is an apocalyptic number.

634473840 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 634473840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399910400).

634473840 is an abundant number, since it is smaller than the sum of its proper divisors (2165346960).

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

634473840 is a wasteful number, since it uses less digits than its factorization.

634473840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 634473840 is about 25188.7641618242. The cubic root of 634473840 is about 859.2863378106.

It can be divided in two parts, 634 and 473840, that added together give a palindrome (474474).

The spelling of 634473840 in words is "six hundred thirty-four million, four hundred seventy-three thousand, eight hundred forty".