31385480 has 96 divisors (see below), whose sum is σ = 83721600. Its totient is φ = 10555776.

The previous prime is 31385461. The next prime is 31385489. The reversal of 31385480 is 8458313.

31385480 = 785² + 786² + ... + 832².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31385489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131201 + ... + 131439.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^31385480 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 31385480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

31385480 is an abundant number, since it is smaller than the sum of its proper divisors (52336120).

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

31385480 is a wasteful number, since it uses less digits than its factorization.

31385480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 31385480 is about 5602.2745380783. The cubic root of 31385480 is about 315.4347905345.

The spelling of 31385480 in words is "thirty-one million, three hundred eighty-five thousand, four hundred eighty".