631142400 has 288 divisors, whose sum is σ = 2388597120. Its totient is φ = 144015360.

The previous prime is 631142387. The next prime is 631142443. The reversal of 631142400 is 4241136.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074907 + ... + 1075493.

It is an arithmetic number, because the mean of its divisors is an integer number (8293740).

Almost surely, 2^631142400 is an apocalyptic number.

631142400 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 631142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194298560).

631142400 is an abundant number, since it is smaller than the sum of its proper divisors (1757454720).

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

631142400 is a wasteful number, since it uses less digits than its factorization.

631142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 631142400 is about 25122.5476415112. The cubic root of 631142400 is about 857.7797425290.

Adding to 631142400 its reverse (4241136), we get a palindrome (635383536).

The spelling of 631142400 in words is "six hundred thirty-one million, one hundred forty-two thousand, four hundred".