405024420504 has 128 divisors (see below), whose sum is σ = 1174039764480. Its totient is φ = 115075430400.

The previous prime is 405024420473. The next prime is 405024420527.

405024420504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×405024420504² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008774 + ... + 1351914.

It is an arithmetic number, because the mean of its divisors is an integer number (9172185660).

Almost surely, 2^405024420504 is an apocalyptic number.

405024420504 is a gapful number since it is divisible by the number (44) 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 405024420504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587019882240).

405024420504 is an abundant number, since it is smaller than the sum of its proper divisors (769015343976).

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

405024420504 is a wasteful number, since it uses less digits than its factorization.

405024420504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343441 (or 343437 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 405024 and 420504, that added together give a palindrome (825528).

The spelling of 405024420504 in words is "four hundred five billion, twenty-four million, four hundred twenty thousand, five hundred four".