634458240 has 384 divisors, whose sum is σ = 2433740400. Its totient is φ = 151289856.

The previous prime is 634458229. The next prime is 634458263. The reversal of 634458240 is 42854436.

634458240 is a `hidden beast` number, since 6 + 34 + 4 + 582 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 453178944 + 181279296 = 21288^2 + 13464^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 634458195 and 634458204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770446 + ... + 2770674.

Almost surely, 2^634458240 is an apocalyptic number.

634458240 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 634458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216870200).

634458240 is an abundant number, since it is smaller than the sum of its proper divisors (1799282160).

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

634458240 is a wasteful number, since it uses less digits than its factorization.

634458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 634458240 is about 25188.4544980433. The cubic root of 634458240 is about 859.2792952419.

The spelling of 634458240 in words is "six hundred thirty-four million, four hundred fifty-eight thousand, two hundred forty".