409072692820 has 48 divisors (see below), whose sum is σ = 937323269568. Its totient is φ = 148725941760.

The previous prime is 409072692757. The next prime is 409072692823. The reversal of 409072692820 is 28296270904.

It is a super-2 number, since 2×409072692820² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409072692823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026652 + ... + 1368268.

It is an arithmetic number, because the mean of its divisors is an integer number (19527568116).

Almost surely, 2^409072692820 is an apocalyptic number.

It is an amenable number.

409072692820 is an abundant number, since it is smaller than the sum of its proper divisors (528250576748).

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

409072692820 is a wasteful number, since it uses less digits than its factorization.

409072692820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347080 (or 347078 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 409072692820 in words is "four hundred nine billion, seventy-two million, six hundred ninety-two thousand, eight hundred twenty".