404848516608 has 640 divisors, whose sum is σ = 1332737556480. Its totient is φ = 120766464000.

The previous prime is 404848516549. The next prime is 404848516627. The reversal of 404848516608 is 806615848404.

It is a happy number.

404848516608 is a `hidden beast` number, since 40 + 4 + 84 + 8 + 516 + 6 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444399673 + ... + 444400583.

It is an arithmetic number, because the mean of its divisors is an integer number (2082402432).

Almost surely, 2^404848516608 is an apocalyptic number.

404848516608 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 404848516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666368778240).

404848516608 is an abundant number, since it is smaller than the sum of its proper divisors (927889039872).

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

404848516608 is a wasteful number, since it uses less digits than its factorization.

404848516608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 404848516608 in words is "four hundred four billion, eight hundred forty-eight million, five hundred sixteen thousand, six hundred eight".