405580700448 has 576 divisors, whose sum is σ = 1504407219840. Its totient is φ = 105119078400.

The previous prime is 405580700417. The next prime is 405580700501. The reversal of 405580700448 is 844007085504.

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, 397238178 + ... + 397239198.

It is an arithmetic number, because the mean of its divisors is an integer number (2611818090).

Almost surely, 2^405580700448 is an apocalyptic number.

405580700448 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 405580700448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752203609920).

405580700448 is an abundant number, since it is smaller than the sum of its proper divisors (1098826519392).

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

405580700448 is a wasteful number, since it uses less digits than its factorization.

405580700448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 405580700448 in words is "four hundred five billion, five hundred eighty million, seven hundred thousand, four hundred forty-eight".