505635434400 has 288 divisors, whose sum is σ = 1670706692928. Its totient is φ = 132804403200.

The previous prime is 505635434393. The next prime is 505635434407. The reversal of 505635434400 is 4434536505.

It is an interprime number because it is at equal distance from previous prime (505635434393) and next prime (505635434407).

It is not an unprimeable number, because it can be changed into a prime (505635434407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164861667 + ... + 164864733.

It is an arithmetic number, because the mean of its divisors is an integer number (5801064906).

Almost surely, 2^505635434400 is an apocalyptic number.

505635434400 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 505635434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835353346464).

505635434400 is an abundant number, since it is smaller than the sum of its proper divisors (1165071258528).

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

505635434400 is a wasteful number, since it uses less digits than its factorization.

505635434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 505635434400 in words is "five hundred five billion, six hundred thirty-five million, four hundred thirty-four thousand, four hundred".