506542400 has 336 divisors, whose sum is σ = 1587398400. Its totient is φ = 158054400.

The previous prime is 506542397. The next prime is 506542417. The reversal of 506542400 is 4245605.

It is a hoax number, since the sum of its digits (26) 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 506542400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7134365 + ... + 7134435.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^506542400 is an apocalyptic number.

506542400 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 506542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793699200).

506542400 is an abundant number, since it is smaller than the sum of its proper divisors (1080856000).

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

506542400 is a wasteful number, since it uses less digits than its factorization.

506542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 506542400 is about 22506.4968398016. The cubic root of 506542400 is about 797.1473400043.

The spelling of 506542400 in words is "five hundred six million, five hundred forty-two thousand, four hundred".