504614416405 has 96 divisors (see below), whose sum is σ = 770789468160. Its totient is φ = 312993838080.

The previous prime is 504614416363. The next prime is 504614416417.

It is a happy number.

504614416405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504614416405 - 2¹⁷ = 504614285333 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6909792 + ... + 6982438.

It is an arithmetic number, because the mean of its divisors is an integer number (8029056960).

Almost surely, 2^504614416405 is an apocalyptic number.

504614416405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504614416405 is a deficient number, since it is larger than the sum of its proper divisors (266175051755).

504614416405 is a wasteful number, since it uses less digits than its factorization.

504614416405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72739 (or 72722 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 504614416405 in words is "five hundred four billion, six hundred fourteen million, four hundred sixteen thousand, four hundred five".