409972464 has 120 divisors (see below), whose sum is σ = 1270668672. Its totient is φ = 122348160.

The previous prime is 409972439. The next prime is 409972483. The reversal of 409972464 is 464279904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104197 + ... + 108059.

Almost surely, 2^409972464 is an apocalyptic number.

409972464 is a gapful number since it is divisible by the number (44) 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 409972464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635334336).

409972464 is an abundant number, since it is smaller than the sum of its proper divisors (860696208).

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

409972464 is a wasteful number, since it uses less digits than its factorization.

409972464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 409972464 is about 20247.7767668453. The cubic root of 409972464 is about 742.8792525682.

The spelling of 409972464 in words is "four hundred nine million, nine hundred seventy-two thousand, four hundred sixty-four".