505132400 has 60 divisors (see below), whose sum is σ = 1236530232. Its totient is φ = 198232320.

The previous prime is 505132393. The next prime is 505132409. The reversal of 505132400 is 4231505.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505132409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9287 + ... + 33113.

Almost surely, 2^505132400 is an apocalyptic number.

505132400 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 505132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618265116).

505132400 is an abundant number, since it is smaller than the sum of its proper divisors (731397832).

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

505132400 is a wasteful number, since it uses less digits than its factorization.

505132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23898 (or 23887 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 505132400 is about 22475.1507225202. The cubic root of 505132400 is about 796.4070122067.

Adding to 505132400 its reverse (4231505), we get a palindrome (509363905).

The spelling of 505132400 in words is "five hundred five million, one hundred thirty-two thousand, four hundred".