404196480 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 102187008.

The previous prime is 404196467. The next prime is 404196511. The reversal of 404196480 is 84691404.

It is a happy number.

404196480 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 9 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 3576904 + ... + 3577016.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^404196480 is an apocalyptic number.

404196480 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 404196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

404196480 is an abundant number, since it is smaller than the sum of its proper divisors (1119536640).

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

404196480 is a wasteful number, since it uses less digits than its factorization.

404196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 404196480 is about 20104.6382708071. The cubic root of 404196480 is about 739.3740018784.

The spelling of 404196480 in words is "four hundred four million, one hundred ninety-six thousand, four hundred eighty".