409493932848 has 960 divisors, whose sum is σ = 1580048870400. Its totient is φ = 95581347840.

The previous prime is 409493932829. The next prime is 409493932879. The reversal of 409493932848 is 848239394904.

It is a super-2 number, since 2×409493932848² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1052683438 + ... + 1052683826.

It is an arithmetic number, because the mean of its divisors is an integer number (1645884240).

Almost surely, 2^409493932848 is an apocalyptic number.

409493932848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409493932848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790024435200).

409493932848 is an abundant number, since it is smaller than the sum of its proper divisors (1170554937552).

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

409493932848 is a wasteful number, since it uses less digits than its factorization.

409493932848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

It can be divided in two parts, 409493 and 932848, that added together give a triangular number (1342341 = T₁₆₃₈).

The spelling of 409493932848 in words is "four hundred nine billion, four hundred ninety-three million, nine hundred thirty-two thousand, eight hundred forty-eight".