506395380 has 96 divisors (see below), whose sum is σ = 1454229504. Its totient is φ = 131624064.

The previous prime is 506395349. The next prime is 506395411. The reversal of 506395380 is 83593605.

It is an interprime number because it is at equal distance from previous prime (506395349) and next prime (506395411).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413449 + ... + 414671.

It is an arithmetic number, because the mean of its divisors is an integer number (15148224).

Almost surely, 2^506395380 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 506395380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727114752).

506395380 is an abundant number, since it is smaller than the sum of its proper divisors (947834124).

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

506395380 is a wasteful number, since it uses less digits than its factorization.

506395380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 506395380 is about 22503.2304347620. The cubic root of 506395380 is about 797.0702105990.

The spelling of 506395380 in words is "five hundred six million, three hundred ninety-five thousand, three hundred eighty".