404984595456 has 297 divisors, whose sum is σ = 1361742057039. Its totient is φ = 115587698688.

The previous prime is 404984595443. The next prime is 404984595497. The reversal of 404984595456 is 654595489404.

The square root of 404984595456 is 636384.

It is a perfect power (a square), and thus also a powerful number.

404984595456 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 84 + 5 + 9 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 404984595393 and 404984595402.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 427649575 + ... + 427650521.

Almost surely, 2^404984595456 is an apocalyptic number.

404984595456 is the 636384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404984595456

404984595456 is an abundant number, since it is smaller than the sum of its proper divisors (956757461583).

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

404984595456 is an frugal number, since it uses more digits than its factorization.

404984595456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 404984595456 in words is "four hundred four billion, nine hundred eighty-four million, five hundred ninety-five thousand, four hundred fifty-six".