505901430 has 64 divisors (see below), whose sum is σ = 1374563520. Its totient is φ = 132357888.

The previous prime is 505901423. The next prime is 505901437. The reversal of 505901430 is 34109505.

It is an interprime number because it is at equal distance from previous prime (505901423) and next prime (505901437).

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 = 505901394 and 505901403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505901437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367 + ... + 31986.

It is an arithmetic number, because the mean of its divisors is an integer number (21477555).

Almost surely, 2^505901430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505901430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687281760).

505901430 is an abundant number, since it is smaller than the sum of its proper divisors (868662090).

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

505901430 is a wasteful number, since it uses less digits than its factorization.

505901430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35422 (or 35416 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 505901430 is about 22492.2526661960. The cubic root of 505901430 is about 796.8109659272.

The spelling of 505901430 in words is "five hundred five million, nine hundred one thousand, four hundred thirty".