404790600960 has 576 divisors, whose sum is σ = 1456902370560. Its totient is φ = 106420469760.

The previous prime is 404790600943. The next prime is 404790600961. The reversal of 404790600960 is 69006097404.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404790600961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1019623482 + ... + 1019623878.

Almost surely, 2^404790600960 is an apocalyptic number.

404790600960 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 404790600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728451185280).

404790600960 is an abundant number, since it is smaller than the sum of its proper divisors (1052111769600).

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

404790600960 is a wasteful number, since it uses less digits than its factorization.

404790600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 404790600960 in words is "four hundred four billion, seven hundred ninety million, six hundred thousand, nine hundred sixty".