31431400 has 192 divisors, whose sum is σ = 98743680. Its totient is φ = 8985600.

The previous prime is 31431383. The next prime is 31431403. The reversal of 31431400 is 413413.

It is not an unprimeable number, because it can be changed into a prime (31431403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200122 + ... + 200278.

It is an arithmetic number, because the mean of its divisors is an integer number (514290).

Almost surely, 2^31431400 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 31431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49371840).

31431400 is an abundant number, since it is smaller than the sum of its proper divisors (67312280).

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

31431400 is a wasteful number, since it uses less digits than its factorization.

31431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31431400 is about 5606.3713754977. The cubic root of 31431400 is about 315.5885527956.

Adding to 31431400 its reverse (413413), we get a palindrome (31844813).

It can be divided in two parts, 314 and 31400, that multiplied together give a square (9859600 = 3140²).

The spelling of 31431400 in words is "thirty-one million, four hundred thirty-one thousand, four hundred".