505100400 has 240 divisors, whose sum is σ = 1865785344. Its totient is φ = 114416640.

The previous prime is 505100363. The next prime is 505100417. The reversal of 505100400 is 4001505.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 505100400.

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, 1318609 + ... + 1318991.

Almost surely, 2^505100400 is an apocalyptic number.

505100400 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 505100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932892672).

505100400 is an abundant number, since it is smaller than the sum of its proper divisors (1360684944).

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

505100400 is a wasteful number, since it uses less digits than its factorization.

505100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 505100400 is about 22474.4388139059. The cubic root of 505100400 is about 796.3901944624.

Adding to 505100400 its reverse (4001505), we get a palindrome (509101905).

The spelling of 505100400 in words is "five hundred five million, one hundred thousand, four hundred".