404052480 has 480 divisors, whose sum is σ = 1608647040. Its totient is φ = 92897280.

The previous prime is 404052463. The next prime is 404052487. The reversal of 404052480 is 84250404.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404052487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690845 + ... + 5690915.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^404052480 is an apocalyptic number.

404052480 is a gapful number since it is divisible by the number (40) 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 404052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

404052480 is an abundant number, since it is smaller than the sum of its proper divisors (1204594560).

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

404052480 is a wasteful number, since it uses less digits than its factorization.

404052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 404052480 is about 20101.0566886420. The cubic root of 404052480 is about 739.2861877354.

The spelling of 404052480 in words is "four hundred four million, fifty-two thousand, four hundred eighty".