506133460 has 48 divisors (see below), whose sum is σ = 1222510464. Its totient is φ = 172418688.

The previous prime is 506133449. The next prime is 506133493. The reversal of 506133460 is 64331605.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10467 + ... + 33493.

It is an arithmetic number, because the mean of its divisors is an integer number (25468968).

Almost surely, 2^506133460 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 506133460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611255232).

506133460 is an abundant number, since it is smaller than the sum of its proper divisors (716377004).

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

506133460 is a wasteful number, since it uses less digits than its factorization.

506133460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23200 (or 23198 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 506133460 is about 22497.4100731618. The cubic root of 506133460 is about 796.9327655369.

The spelling of 506133460 in words is "five hundred six million, one hundred thirty-three thousand, four hundred sixty".