506423408400 has 2160 divisors, whose sum is σ = 2368732766400. Its totient is φ = 99005276160.

The previous prime is 506423408399. The next prime is 506423408401. The reversal of 506423408400 is 4804324605.

506423408400 is a `hidden beast` number, since 5 + 0 + 642 + 3 + 4 + 0 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506423408399) and next prime (506423408401).

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

It is not an unprimeable number, because it can be changed into a prime (506423408401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2570677102 + ... + 2570677298.

It is an arithmetic number, because the mean of its divisors is an integer number (1096635540).

Almost surely, 2^506423408400 is an apocalyptic number.

506423408400 is a gapful number since it is divisible by the number (50) 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 506423408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184366383200).

506423408400 is an abundant number, since it is smaller than the sum of its proper divisors (1862309358000).

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

506423408400 is a wasteful number, since it uses less digits than its factorization.

506423408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 506423408400 in words is "five hundred six billion, four hundred twenty-three million, four hundred eight thousand, four hundred".