506153472 has 160 divisors (see below), whose sum is σ = 1523206080. Its totient is φ = 147947520.

The previous prime is 506153449. The next prime is 506153489. The reversal of 506153472 is 274351605.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489468 + ... + 490500.

It is an arithmetic number, because the mean of its divisors is an integer number (9520038).

Almost surely, 2^506153472 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 506153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761603040).

506153472 is an abundant number, since it is smaller than the sum of its proper divisors (1017052608).

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

506153472 is a wasteful number, since it uses less digits than its factorization.

506153472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 506153472 is about 22497.8548310722. The cubic root of 506153472 is about 796.9432687010.

The spelling of 506153472 in words is "five hundred six million, one hundred fifty-three thousand, four hundred seventy-two".