408798635520 has 960 divisors, whose sum is σ = 1541145735360. Its totient is φ = 92044001280.

The previous prime is 408798635519. The next prime is 408798635561. The reversal of 408798635520 is 25536897804.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1785146766 + ... + 1785146994.

It is an arithmetic number, because the mean of its divisors is an integer number (1605360141).

Almost surely, 2^408798635520 is an apocalyptic number.

408798635520 is a gapful number since it is divisible by the number (40) 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 408798635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770572867680).

408798635520 is an abundant number, since it is smaller than the sum of its proper divisors (1132347099840).

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

408798635520 is a wasteful number, since it uses less digits than its factorization.

408798635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 408798635520 in words is "four hundred eight billion, seven hundred ninety-eight million, six hundred thirty-five thousand, five hundred twenty".