404037480 has 256 divisors, whose sum is σ = 1534464000. Its totient is φ = 82667520.

The previous prime is 404037479. The next prime is 404037509. The reversal of 404037480 is 84730404.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 674221 + ... + 674819.

It is an arithmetic number, because the mean of its divisors is an integer number (5994000).

Almost surely, 2^404037480 is an apocalyptic number.

404037480 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 404037480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767232000).

404037480 is an abundant number, since it is smaller than the sum of its proper divisors (1130426520).

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

404037480 is a wasteful number, since it uses less digits than its factorization.

404037480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

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

The square root of 404037480 is about 20100.6835704660. The cubic root of 404037480 is about 739.2770392290.

Adding to 404037480 its reverse (84730404), we get a palindrome (488767884).

The spelling of 404037480 in words is "four hundred four million, thirty-seven thousand, four hundred eighty".