409352465772 has 192 divisors, whose sum is σ = 1128834201600. Its totient is φ = 128039304960.

The previous prime is 409352465771. The next prime is 409352465791. The reversal of 409352465772 is 277564253904.

409352465772 is a `hidden beast` number, since 40 + 9 + 3 + 5 + 24 + 6 + 577 + 2 = 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 (409352465771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150995497 + ... + 150998207.

It is an arithmetic number, because the mean of its divisors is an integer number (5879344800).

Almost surely, 2^409352465772 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 409352465772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564417100800).

409352465772 is an abundant number, since it is smaller than the sum of its proper divisors (719481735828).

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

409352465772 is a wasteful number, since it uses less digits than its factorization.

409352465772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 409352465772 in words is "four hundred nine billion, three hundred fifty-two million, four hundred sixty-five thousand, seven hundred seventy-two".