405446484960 has 480 divisors, whose sum is σ = 1567578839904. Its totient is φ = 97873920000.

The previous prime is 405446484929. The next prime is 405446485009. The reversal of 405446484960 is 69484644504.

405446484960 is a `hidden beast` number, since 4 + 0 + 544 + 6 + 4 + 8 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 405446484897 and 405446484906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34351060 + ... + 34362860.

Almost surely, 2^405446484960 is an apocalyptic number.

405446484960 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 405446484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783789419952).

405446484960 is an abundant number, since it is smaller than the sum of its proper divisors (1162132354944).

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

405446484960 is a wasteful number, since it uses less digits than its factorization.

405446484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12080 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 405446484960 in words is "four hundred five billion, four hundred forty-six million, four hundred eighty-four thousand, nine hundred sixty".