531450000 has 180 divisors, whose sum is σ = 1860607476. Its totient is φ = 141600000.

The previous prime is 531449987. The next prime is 531450013. The reversal of 531450000 is 54135.

It is an interprime number because it is at equal distance from previous prime (531449987) and next prime (531450013).

It can be written as a sum of positive squares in 6 ways, for example, as 322705296 + 208744704 = 17964^2 + 14448^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449410 + ... + 450590.

Almost surely, 2^531450000 is an apocalyptic number.

531450000 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 531450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930303738).

531450000 is an abundant number, since it is smaller than the sum of its proper divisors (1329157476).

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

531450000 is a wasteful number, since it uses less digits than its factorization.

531450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 531450000 is about 23053.1993441258. The cubic root of 531450000 is about 810.0045724479.

The spelling of 531450000 in words is "five hundred thirty-one million, four hundred fifty thousand".