506084370 has 64 divisors (see below), whose sum is σ = 1330145280. Its totient is φ = 122212800.

The previous prime is 506084363. The next prime is 506084377. The reversal of 506084370 is 73480605.

It is an interprime number because it is at equal distance from previous prime (506084363) and next prime (506084377).

It is a super-2 number, since 2×506084370² = 512242779116593800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (506084377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86601 + ... + 92259.

It is an arithmetic number, because the mean of its divisors is an integer number (20783520).

Almost surely, 2^506084370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506084370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665072640).

506084370 is an abundant number, since it is smaller than the sum of its proper divisors (824060910).

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

506084370 is a wasteful number, since it uses less digits than its factorization.

506084370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 506084370 is about 22496.3190322328. The cubic root of 506084370 is about 796.9069998069.

The spelling of 506084370 in words is "five hundred six million, eighty-four thousand, three hundred seventy".