409455253152 has 384 divisors, whose sum is σ = 1330501939200. Its totient is φ = 122479568640.

The previous prime is 409455253147. The next prime is 409455253189. The reversal of 409455253152 is 251352554904.

409455253152 is a `hidden beast` number, since 4 + 0 + 9 + 45 + 525 + 31 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 409455253098 and 409455253107.

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, 90846483 + ... + 90850989.

It is an arithmetic number, because the mean of its divisors is an integer number (3464848800).

Almost surely, 2^409455253152 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 409455253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665250969600).

409455253152 is an abundant number, since it is smaller than the sum of its proper divisors (921046686048).

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

409455253152 is a wasteful number, since it uses less digits than its factorization.

409455253152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 409455253152 in words is "four hundred nine billion, four hundred fifty-five million, two hundred fifty-three thousand, one hundred fifty-two".