31494400 has 216 divisors, whose sum is σ = 96313280. Its totient is φ = 9953280.

The previous prime is 31494389. The next prime is 31494401. The reversal of 31494400 is 449413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31494401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851182 + ... + 851218.

Almost surely, 2^31494400 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 31494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48156640).

31494400 is an abundant number, since it is smaller than the sum of its proper divisors (64818880).

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

31494400 is a wasteful number, since it uses less digits than its factorization.

31494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 31494400 is about 5611.9871703346. The cubic root of 31494400 is about 315.7992636341.

The spelling of 31494400 in words is "thirty-one million, four hundred ninety-four thousand, four hundred".