505406304 has 240 divisors, whose sum is σ = 1636688592. Its totient is φ = 152036352.

The previous prime is 505406269. The next prime is 505406333. The reversal of 505406304 is 403604505.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1785747 + ... + 1786029.

Almost surely, 2^505406304 is an apocalyptic number.

505406304 is a gapful number since it is divisible by the number (54) 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 505406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818344296).

505406304 is an abundant number, since it is smaller than the sum of its proper divisors (1131282288).

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

505406304 is a wasteful number, since it uses less digits than its factorization.

505406304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 505406304 is about 22481.2433819840. The cubic root of 505406304 is about 796.5509346384.

The spelling of 505406304 in words is "five hundred five million, four hundred six thousand, three hundred four".