404965260 has 144 divisors (see below), whose sum is σ = 1409571072. Its totient is φ = 92188800.

The previous prime is 404965201. The next prime is 404965273. The reversal of 404965260 is 62569404.

404965260 is a `hidden beast` number, since 40 + 4 + 96 + 526 + 0 = 666.

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

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, 416575 + ... + 417545.

It is an arithmetic number, because the mean of its divisors is an integer number (9788688).

Almost surely, 2^404965260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404965260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704785536).

404965260 is an abundant number, since it is smaller than the sum of its proper divisors (1004605812).

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

404965260 is a wasteful number, since it uses less digits than its factorization.

404965260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 404965260 is about 20123.7486567488. The cubic root of 404965260 is about 739.8424670751.

The spelling of 404965260 in words is "four hundred four million, nine hundred sixty-five thousand, two hundred sixty".