409874206752 has 480 divisors, whose sum is σ = 1313500224960. Its totient is φ = 124873850880.

The previous prime is 409874206733. The next prime is 409874206757. The reversal of 409874206752 is 257602478904.

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 (409874206757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 554633199 + ... + 554633937.

It is an arithmetic number, because the mean of its divisors is an integer number (2736458802).

Almost surely, 2^409874206752 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 409874206752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656750112480).

409874206752 is an abundant number, since it is smaller than the sum of its proper divisors (903626018208).

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

409874206752 is a wasteful number, since it uses less digits than its factorization.

409874206752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 409874206752 in words is "four hundred nine billion, eight hundred seventy-four million, two hundred six thousand, seven hundred fifty-two".