404598660480 has 288 divisors, whose sum is σ = 1625233699440. Its totient is φ = 92479629312.

The previous prime is 404598660469. The next prime is 404598660481. The reversal of 404598660480 is 84066895404.

404598660480 is a `hidden beast` number, since 4 + 0 + 4 + 598 + 6 + 6 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404598660481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 434524 + ... + 999003.

Almost surely, 2^404598660480 is an apocalyptic number.

404598660480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404598660480 is an abundant number, since it is smaller than the sum of its proper divisors (1220635038960).

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

404598660480 is a wasteful number, since it uses less digits than its factorization.

404598660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433566 (or 1433544 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 404598660480 in words is "four hundred four billion, five hundred ninety-eight million, six hundred sixty thousand, four hundred eighty".