506371248 has 120 divisors (see below), whose sum is σ = 1525545216. Its totient is φ = 156211200.

The previous prime is 506371237. The next prime is 506371319. The reversal of 506371248 is 842173605.

506371248 is a `hidden beast` number, since 5 + 0 + 637 + 12 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147633 + ... + 151023.

Almost surely, 2^506371248 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 506371248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762772608).

506371248 is an abundant number, since it is smaller than the sum of its proper divisors (1019173968).

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

506371248 is a wasteful number, since it uses less digits than its factorization.

506371248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 506371248 is about 22502.6942386906. The cubic root of 506371248 is about 797.0575490802.

The spelling of 506371248 in words is "five hundred six million, three hundred seventy-one thousand, two hundred forty-eight".