404886960 has 240 divisors, whose sum is σ = 1516376160. Its totient is φ = 96215040.

The previous prime is 404886953. The next prime is 404886971. The reversal of 404886960 is 69688404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 231690 + ... + 233430.

It is an arithmetic number, because the mean of its divisors is an integer number (6318234).

Almost surely, 2^404886960 is an apocalyptic number.

404886960 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 404886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758188080).

404886960 is an abundant number, since it is smaller than the sum of its proper divisors (1111489200).

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

404886960 is a wasteful number, since it uses less digits than its factorization.

404886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 404886960 is about 20121.8031001200. The cubic root of 404886960 is about 739.7947811747.

It can be divided in two parts, 404 and 886960, that added together give a square (887364 = 942²).

The spelling of 404886960 in words is "four hundred four million, eight hundred eighty-six thousand, nine hundred sixty".