408357364848 has 80 divisors (see below), whose sum is σ = 1082419116576. Its totient is φ = 132582113280.

The previous prime is 408357364801. The next prime is 408357364901. The reversal of 408357364848 is 848463753804.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 408357364791 and 408357364800.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1037136 + ... + 1375632.

Almost surely, 2^408357364848 is an apocalyptic number.

408357364848 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 408357364848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541209558288).

408357364848 is an abundant number, since it is smaller than the sum of its proper divisors (674061751728).

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

408357364848 is a wasteful number, since it uses less digits than its factorization.

408357364848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339162 (or 339156 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 408357364848 in words is "four hundred eight billion, three hundred fifty-seven million, three hundred sixty-four thousand, eight hundred forty-eight".