631463040 has 320 divisors, whose sum is σ = 2431127160. Its totient is φ = 155271168.

The previous prime is 631462987. The next prime is 631463047. The reversal of 631463040 is 40364136.

It can be written as a sum of positive squares in 4 ways, for example, as 222129216 + 409333824 = 14904^2 + 20232^2 .

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 631462995 and 631463013.

It is not an unprimeable number, because it can be changed into a prime (631463047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673452 + ... + 674388.

Almost surely, 2^631463040 is an apocalyptic number.

631463040 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 631463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215563580).

631463040 is an abundant number, since it is smaller than the sum of its proper divisors (1799664120).

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

631463040 is a wasteful number, since it uses less digits than its factorization.

631463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 631463040 is about 25128.9283496133. The cubic root of 631463040 is about 857.9249775471.

The spelling of 631463040 in words is "six hundred thirty-one million, four hundred sixty-three thousand, forty".