409711488 has 64 divisors (see below), whose sum is σ = 1092456720. Its totient is φ = 136048640.

The previous prime is 409711487. The next prime is 409711493. The reversal of 409711488 is 884117904.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409711481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106006 + ... + 109802.

Almost surely, 2^409711488 is an apocalyptic number.

409711488 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 409711488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546228360).

409711488 is an abundant number, since it is smaller than the sum of its proper divisors (682745232).

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

409711488 is a wasteful number, since it uses less digits than its factorization.

409711488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 409711488 is about 20241.3311815206. The cubic root of 409711488 is about 742.7215876635.

The spelling of 409711488 in words is "four hundred nine million, seven hundred eleven thousand, four hundred eighty-eight".