404730480 has 320 divisors, whose sum is σ = 1585898496. Its totient is φ = 83635200.

The previous prime is 404730461. The next prime is 404730481. The reversal of 404730480 is 84037404.

It is a super-2 number, since 2×404730480² = 327613522882060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404730481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235990 + ... + 2236170.

Almost surely, 2^404730480 is an apocalyptic number.

404730480 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 404730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792949248).

404730480 is an abundant number, since it is smaller than the sum of its proper divisors (1181168016).

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

404730480 is a wasteful number, since it uses less digits than its factorization.

404730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 404730480 is about 20117.9144048283. The cubic root of 404730480 is about 739.6994640325.

Adding to 404730480 its reverse (84037404), we get a palindrome (488767884).

The spelling of 404730480 in words is "four hundred four million, seven hundred thirty thousand, four hundred eighty".