506394720 has 384 divisors, whose sum is σ = 1950842880. Its totient is φ = 121927680.

The previous prime is 506394683. The next prime is 506394737. The reversal of 506394720 is 27493605.

It is a super-2 number, since 2×506394720² = 512871224887756800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3987297 + ... + 3987423.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^506394720 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 506394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975421440).

506394720 is an abundant number, since it is smaller than the sum of its proper divisors (1444448160).

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

506394720 is a wasteful number, since it uses less digits than its factorization.

506394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 506394720 is about 22503.2157701960. The cubic root of 506394720 is about 797.0698643172.

The spelling of 506394720 in words is "five hundred six million, three hundred ninety-four thousand, seven hundred twenty".