631414440 has 160 divisors (see below), whose sum is σ = 2162884680. Its totient is φ = 165155328.

The previous prime is 631414439. The next prime is 631414453. The reversal of 631414440 is 44414136.

It can be written as a sum of positive squares in 4 ways, for example, as 609003684 + 22410756 = 24678^2 + 4734^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 169882 + ... + 173558.

Almost surely, 2^631414440 is an apocalyptic number.

631414440 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 631414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081442340).

631414440 is an abundant number, since it is smaller than the sum of its proper divisors (1531470240).

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

631414440 is a wasteful number, since it uses less digits than its factorization.

631414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 631414440 is about 25127.9613180218. The cubic root of 631414440 is about 857.9029671675.

Adding to 631414440 its reverse (44414136), we get a palindrome (675828576).

The spelling of 631414440 in words is "six hundred thirty-one million, four hundred fourteen thousand, four hundred forty".