405244492848 has 240 divisors, whose sum is σ = 1349435505600. Its totient is φ = 112253239296.

The previous prime is 405244492837. The next prime is 405244492867. The reversal of 405244492848 is 848294442504.

It is a super-2 number, since 2×405244492848² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 405244492794 and 405244492803.

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 47 ways as a sum of consecutive naturals, for example, 455128 + ... + 1008776.

It is an arithmetic number, because the mean of its divisors is an integer number (5622647940).

Almost surely, 2^405244492848 is an apocalyptic number.

405244492848 is a gapful number since it is divisible by the number (48) 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 405244492848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674717752800).

405244492848 is an abundant number, since it is smaller than the sum of its proper divisors (944191012752).

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

405244492848 is a wasteful number, since it uses less digits than its factorization.

405244492848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553716 (or 553707 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 405244492848 in words is "four hundred five billion, two hundred forty-four million, four hundred ninety-two thousand, eight hundred forty-eight".