404429760 has 336 divisors, whose sum is σ = 1650894336. Its totient is φ = 92316672.

The previous prime is 404429741. The next prime is 404429777. The reversal of 404429760 is 67924404.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 543949 + ... + 544691.

It is an arithmetic number, because the mean of its divisors is an integer number (4913376).

Almost surely, 2^404429760 is an apocalyptic number.

404429760 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 404429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825447168).

404429760 is an abundant number, since it is smaller than the sum of its proper divisors (1246464576).

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

404429760 is an equidigital number, since it uses as much as digits as its factorization.

404429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 404429760 is about 20110.4390802389. The cubic root of 404429760 is about 739.5162165389.

The spelling of 404429760 in words is "four hundred four million, four hundred twenty-nine thousand, seven hundred sixty".