505794432 has 256 divisors, whose sum is σ = 1614896640. Its totient is φ = 138240000.

The previous prime is 505794431. The next prime is 505794439. The reversal of 505794432 is 234497505.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505794431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3349557 + ... + 3349707.

It is an arithmetic number, because the mean of its divisors is an integer number (6308190).

Almost surely, 2^505794432 is an apocalyptic number.

505794432 is a gapful number since it is divisible by the number (52) 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 505794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807448320).

505794432 is an abundant number, since it is smaller than the sum of its proper divisors (1109102208).

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

505794432 is a wasteful number, since it uses less digits than its factorization.

505794432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 505794432 is about 22489.8739880863. The cubic root of 505794432 is about 796.7547868734.

The spelling of 505794432 in words is "five hundred five million, seven hundred ninety-four thousand, four hundred thirty-two".