31406400 has 168 divisors, whose sum is σ = 114645440. Its totient is φ = 8363520.

The previous prime is 31406393. The next prime is 31406423. The reversal of 31406400 is 460413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42837 + ... + 43563.

Almost surely, 2^31406400 is an apocalyptic number.

31406400 is a gapful number since it is divisible by the number (30) 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 31406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57322720).

31406400 is an abundant number, since it is smaller than the sum of its proper divisors (83239040).

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

31406400 is a wasteful number, since it uses less digits than its factorization.

31406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31406400 is about 5604.1413258411. The cubic root of 31406400 is about 315.5048593497.

Adding to 31406400 its reverse (460413), we get a palindrome (31866813).

The spelling of 31406400 in words is "thirty-one million, four hundred six thousand, four hundred".