634646448 has 160 divisors (see below), whose sum is σ = 1949875200. Its totient is φ = 196936704.

The previous prime is 634646443. The next prime is 634646449. The reversal of 634646448 is 844646436.

634646448 is a `hidden beast` number, since 634 + 6 + 4 + 6 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×634646448² = 805552227918033408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (634646443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756013 + ... + 756851.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^634646448 is an apocalyptic number.

634646448 is a gapful number since it is divisible by the number (68) 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 634646448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

634646448 is an abundant number, since it is smaller than the sum of its proper divisors (1315228752).

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

634646448 is a wasteful number, since it uses less digits than its factorization.

634646448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 634646448 is about 25192.1902183990. The cubic root of 634646448 is about 859.3642534202.

The spelling of 634646448 in words is "six hundred thirty-four million, six hundred forty-six thousand, four hundred forty-eight".