505674624 has 256 divisors, whose sum is σ = 1713600000. Its totient is φ = 128507904.

The previous prime is 505674623. The next prime is 505674647. The reversal of 505674624 is 426476505.

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 (505674623) 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, 1013127 + ... + 1013625.

It is an arithmetic number, because the mean of its divisors is an integer number (6693750).

Almost surely, 2^505674624 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 505674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800000).

505674624 is an abundant number, since it is smaller than the sum of its proper divisors (1207925376).

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

505674624 is a wasteful number, since it uses less digits than its factorization.

505674624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 505674624 is about 22487.2102315961. The cubic root of 505674624 is about 796.6918725552.

The spelling of 505674624 in words is "five hundred five million, six hundred seventy-four thousand, six hundred twenty-four".