634480000 has 320 divisors, whose sum is σ = 1988363520. Its totient is φ = 195840000.

The previous prime is 634479991. The next prime is 634480027. The reversal of 634480000 is 84436.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 5.

It is a congruent number.

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, 6159949 + ... + 6160051.

It is an arithmetic number, because the mean of its divisors is an integer number (6213636).

Almost surely, 2^634480000 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 634480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994181760).

634480000 is an abundant number, since it is smaller than the sum of its proper divisors (1353883520).

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

634480000 is a wasteful number, since it uses less digits than its factorization.

634480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 634480000 is about 25188.8864382688. The cubic root of 634480000 is about 859.2891186905.

It can be divided in two parts, 63 and 4480000, that multiplied together give a square (282240000 = 16800²).

The spelling of 634480000 in words is "six hundred thirty-four million, four hundred eighty thousand".