531950400 has 504 divisors, whose sum is σ = 2089413144. Its totient is φ = 127795200.

The previous prime is 531950399. The next prime is 531950449. The reversal of 531950400 is 4059135.

531950400 is a `hidden beast` number, since 531 + 95 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 147476736 + 384473664 = 12144^2 + 19608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10036774 + ... + 10036826.

It is an arithmetic number, because the mean of its divisors is an integer number (4145661).

Almost surely, 2^531950400 is an apocalyptic number.

531950400 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 531950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044706572).

531950400 is an abundant number, since it is smaller than the sum of its proper divisors (1557462744).

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

531950400 is a wasteful number, since it uses less digits than its factorization.

531950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 531950400 is about 23064.0499479168. The cubic root of 531950400 is about 810.2587193664.

The spelling of 531950400 in words is "five hundred thirty-one million, nine hundred fifty thousand, four hundred".