531432000 has 504 divisors, whose sum is σ = 2123806776. Its totient is φ = 126720000.

The previous prime is 531431993. The next prime is 531432001. The reversal of 531432000 is 234135.

531432000 = T₉₇ + T₉₈ + ... + T₁₄₇₁.

It can be written as a sum of positive squares in 4 ways, for example, as 128867904 + 402564096 = 11352^2 + 20064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (531432001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8711970 + ... + 8712030.

Almost surely, 2^531432000 is an apocalyptic number.

531432000 is a gapful number since it is divisible by the number (50) 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 531432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061903388).

531432000 is an abundant number, since it is smaller than the sum of its proper divisors (1592374776).

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

531432000 is a wasteful number, since it uses less digits than its factorization.

531432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 531432000 is about 23052.8089394763. The cubic root of 531432000 is about 809.9954275005.

Adding to 531432000 its reverse (234135), we get a palindrome (531666135).

The spelling of 531432000 in words is "five hundred thirty-one million, four hundred thirty-two thousand".