506161400 has 96 divisors (see below), whose sum is σ = 1276793280. Its totient is φ = 185856000.

The previous prime is 506161363. The next prime is 506161457. The reversal of 506161400 is 4161605.

It is a congruent number.

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, 137585 + ... + 141215.

It is an arithmetic number, because the mean of its divisors is an integer number (13299930).

Almost surely, 2^506161400 is an apocalyptic number.

506161400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638396640).

506161400 is an abundant number, since it is smaller than the sum of its proper divisors (770631880).

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

506161400 is a wasteful number, since it uses less digits than its factorization.

506161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 506161400 is about 22498.0310249586. The cubic root of 506161400 is about 796.9474295821.

The spelling of 506161400 in words is "five hundred six million, one hundred sixty-one thousand, four hundred".