405244442504 has 48 divisors (see below), whose sum is σ = 836457375600. Its totient is φ = 183922212320.

The previous prime is 405244442503. The next prime is 405244442641.

405244442504 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (405244442503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320279 + ... + 955545.

It is an arithmetic number, because the mean of its divisors is an integer number (17426195325).

Almost surely, 2^405244442504 is an apocalyptic number.

405244442504 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 405244442504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418228687800).

405244442504 is an abundant number, since it is smaller than the sum of its proper divisors (431212933096).

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

405244442504 is a wasteful number, since it uses less digits than its factorization.

405244442504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635954 (or 635939 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

It can be divided in two parts, 405244 and 442504, that added together give a palindrome (847748).

The spelling of 405244442504 in words is "four hundred five billion, two hundred forty-four million, four hundred forty-two thousand, five hundred four".