31434480 has 420 divisors, whose sum is σ = 139055832. Its totient is φ = 6531840.

The previous prime is 31434443. The next prime is 31434503. The reversal of 31434480 is 8443413.

31434480 is a `hidden beast` number, since 314 + 344 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 83 ways as a sum of consecutive naturals, for example, 2857675 + ... + 2857685.

Almost surely, 2^31434480 is an apocalyptic number.

31434480 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 31434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69527916).

31434480 is an abundant number, since it is smaller than the sum of its proper divisors (107621352).

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

31434480 is a wasteful number, since it uses less digits than its factorization.

31434480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

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

The square root of 31434480 is about 5606.6460562443. The cubic root of 31434480 is about 315.5988607572.

Adding to 31434480 its reverse (8443413), we get a palindrome (39877893).

The spelling of 31434480 in words is "thirty-one million, four hundred thirty-four thousand, four hundred eighty".