404009760 has 384 divisors, whose sum is σ = 1682601984. Its totient is φ = 78888960.

The previous prime is 404009747. The next prime is 404009773. The reversal of 404009760 is 67900404.

It is an interprime number because it is at equal distance from previous prime (404009747) and next prime (404009773).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627999 + ... + 628641.

It is an arithmetic number, because the mean of its divisors is an integer number (4381776).

Almost surely, 2^404009760 is an apocalyptic number.

404009760 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 404009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841300992).

404009760 is an abundant number, since it is smaller than the sum of its proper divisors (1278592224).

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

404009760 is a wasteful number, since it uses less digits than its factorization.

404009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 404009760 is about 20099.9940298499. The cubic root of 404009760 is about 739.2601321934.

The spelling of 404009760 in words is "four hundred four million, nine thousand, seven hundred sixty".