404749960 has 64 divisors (see below), whose sum is σ = 933332400. Its totient is φ = 157925376.

The previous prime is 404749879. The next prime is 404749979. The reversal of 404749960 is 69947404.

It can be written as a sum of positive squares in 8 ways, for example, as 80245764 + 324504196 = 8958^2 + 18014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282526 + ... + 283954.

Almost surely, 2^404749960 is an apocalyptic number.

404749960 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 404749960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466666200).

404749960 is an abundant number, since it is smaller than the sum of its proper divisors (528582440).

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

404749960 is a wasteful number, since it uses less digits than its factorization.

404749960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 404749960 is about 20118.3985446158. The cubic root of 404749960 is about 739.7113312833.

The spelling of 404749960 in words is "four hundred four million, seven hundred forty-nine thousand, nine hundred sixty".