506307340 has 96 divisors (see below), whose sum is σ = 1334398464. Its totient is φ = 156764160.

The previous prime is 506307301. The next prime is 506307343. The reversal of 506307340 is 43703605.

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

It is a junction number, because it is equal to n+sod(n) for n = 506307299 and 506307308.

It is not an unprimeable number, because it can be changed into a prime (506307343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250012 + ... + 252028.

It is an arithmetic number, because the mean of its divisors is an integer number (13899984).

Almost surely, 2^506307340 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 506307340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667199232).

506307340 is an abundant number, since it is smaller than the sum of its proper divisors (828091124).

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

506307340 is a wasteful number, since it uses less digits than its factorization.

506307340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 506307340 is about 22501.2741861433. The cubic root of 506307340 is about 797.0240160435.

It can be divided in two parts, 50630 and 7340, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 506307340 in words is "five hundred six million, three hundred seven thousand, three hundred forty".