506274330 has 64 divisors (see below), whose sum is σ = 1288240128. Its totient is φ = 127111680.

The previous prime is 506274313. The next prime is 506274347. The reversal of 506274330 is 33472605.

It is an interprime number because it is at equal distance from previous prime (506274313) and next prime (506274347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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, 27054 + ... + 41766.

It is an arithmetic number, because the mean of its divisors is an integer number (20128752).

Almost surely, 2^506274330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506274330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644120064).

506274330 is an abundant number, since it is smaller than the sum of its proper divisors (781965798).

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

506274330 is a wasteful number, since it uses less digits than its factorization.

506274330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14791.

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 506274330 is about 22500.5406601708. The cubic root of 506274330 is about 797.0066943283.

The spelling of 506274330 in words is "five hundred six million, two hundred seventy-four thousand, three hundred thirty".