531546444 has 144 divisors (see below), whose sum is σ = 1599736320. Its totient is φ = 146689920.

The previous prime is 531546419. The next prime is 531546461. The reversal of 531546444 is 444645135.

531546444 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 4 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 531546399 and 531546408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406039 + ... + 407345.

It is an arithmetic number, because the mean of its divisors is an integer number (11109280).

Almost surely, 2^531546444 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 531546444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799868160).

531546444 is an abundant number, since it is smaller than the sum of its proper divisors (1068189876).

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

531546444 is a wasteful number, since it uses less digits than its factorization.

531546444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1415 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 531546444 is about 23055.2910196336. The cubic root of 531546444 is about 810.0535675593.

The spelling of 531546444 in words is "five hundred thirty-one million, five hundred forty-six thousand, four hundred forty-four".