405453585096 has 384 divisors, whose sum is σ = 1381266432000. Its totient is φ = 108772180992.

The previous prime is 405453585091. The next prime is 405453585127. The reversal of 405453585096 is 690585354504.

405453585096 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 53 + 585 + 0 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405453585091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110808115 + ... + 110811773.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048000).

Almost surely, 2^405453585096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405453585096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690633216000).

405453585096 is an abundant number, since it is smaller than the sum of its proper divisors (975812846904).

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

405453585096 is a wasteful number, since it uses less digits than its factorization.

405453585096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 405453585096 in words is "four hundred five billion, four hundred fifty-three million, five hundred eighty-five thousand, ninety-six".