404009730 has 96 divisors (see below), whose sum is σ = 1143979200. Its totient is φ = 98534016.

The previous prime is 404009719. The next prime is 404009741. The reversal of 404009730 is 37900404.

It is an interprime number because it is at equal distance from previous prime (404009719) and next prime (404009741).

It is a junction number, because it is equal to n+sod(n) for n = 404009694 and 404009703.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45517 + ... + 53663.

It is an arithmetic number, because the mean of its divisors is an integer number (11916450).

Almost surely, 2^404009730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404009730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571989600).

404009730 is an abundant number, since it is smaller than the sum of its proper divisors (739969470).

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

404009730 is a wasteful number, since it uses less digits than its factorization.

404009730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 404009730 is about 20099.9932835810. The cubic root of 404009730 is about 739.2601138953.

The spelling of 404009730 in words is "four hundred four million, nine thousand, seven hundred thirty".