505419264 has 200 divisors, whose sum is σ = 1725039888. Its totient is φ = 144322560.

The previous prime is 505419263. The next prime is 505419269. The reversal of 505419264 is 462914505.

505419264 is a `hidden beast` number, since 50 + 541 + 9 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505419263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289434 + ... + 291174.

Almost surely, 2^505419264 is an apocalyptic number.

505419264 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 505419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862519944).

505419264 is an abundant number, since it is smaller than the sum of its proper divisors (1219620624).

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

505419264 is an equidigital number, since it uses as much as digits as its factorization.

505419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 505419264 is about 22481.5316204212. The cubic root of 505419264 is about 796.5577431618.

The spelling of 505419264 in words is "five hundred five million, four hundred nineteen thousand, two hundred sixty-four".