505978032 has 120 divisors (see below), whose sum is σ = 1544567808. Its totient is φ = 139812480.

The previous prime is 505978013. The next prime is 505978049. The reversal of 505978032 is 230879505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322113 + ... + 323679.

Almost surely, 2^505978032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505978032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772283904).

505978032 is an abundant number, since it is smaller than the sum of its proper divisors (1038589776).

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

505978032 is a wasteful number, since it uses less digits than its factorization.

505978032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 505978032 is about 22493.9554547438. The cubic root of 505978032 is about 796.8511807659.

The spelling of 505978032 in words is "five hundred five million, nine hundred seventy-eight thousand, thirty-two".