531340992 has 448 divisors, whose sum is σ = 2002739200. Its totient is φ = 134369280.

The previous prime is 531340991. The next prime is 531340993. The reversal of 531340992 is 299043135.

It is a happy number.

531340992 is a `hidden beast` number, since 531 + 34 + 0 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (531340991) and next prime (531340993).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531340991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4874634 + ... + 4874742.

It is an arithmetic number, because the mean of its divisors is an integer number (4470400).

Almost surely, 2^531340992 is an apocalyptic number.

531340992 is a gapful number since it is divisible by the number (52) 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 531340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001369600).

531340992 is an abundant number, since it is smaller than the sum of its proper divisors (1471398208).

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

531340992 is a wasteful number, since it uses less digits than its factorization.

531340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 531340992 is about 23050.8349523396. The cubic root of 531340992 is about 809.9491874847.

The spelling of 531340992 in words is "five hundred thirty-one million, three hundred forty thousand, nine hundred ninety-two".