631820448 has 288 divisors, whose sum is σ = 2165304960. Its totient is φ = 170956800.

The previous prime is 631820411. The next prime is 631820479. The reversal of 631820448 is 844028136.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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, 5904811 + ... + 5904917.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^631820448 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 631820448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082652480).

631820448 is an abundant number, since it is smaller than the sum of its proper divisors (1533484512).

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

631820448 is a wasteful number, since it uses less digits than its factorization.

631820448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 631820448 is about 25136.0388287415. The cubic root of 631820448 is about 858.0868088280.

The spelling of 631820448 in words is "six hundred thirty-one million, eight hundred twenty thousand, four hundred forty-eight".