505253430 has 128 divisors (see below), whose sum is σ = 1556444160. Its totient is φ = 115269120.

The previous prime is 505253417. The next prime is 505253449. The reversal of 505253430 is 34352505.

505253430 is a `hidden beast` number, since 50 + 52 + 534 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 505253394 and 505253403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45487 + ... + 55493.

It is an arithmetic number, because the mean of its divisors is an integer number (12159720).

Almost surely, 2^505253430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505253430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778222080).

505253430 is an abundant number, since it is smaller than the sum of its proper divisors (1051190730).

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

505253430 is a wasteful number, since it uses less digits than its factorization.

505253430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10051 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 505253430 is about 22477.8430904747. The cubic root of 505253430 is about 796.4706136462.

The spelling of 505253430 in words is "five hundred five million, two hundred fifty-three thousand, four hundred thirty".