407830395456 has 567 divisors, whose sum is σ = 1339707283369. Its totient is φ = 118527129600.

The previous prime is 407830395433. The next prime is 407830395463. The reversal of 407830395456 is 654593038704.

The square root of 407830395456 is 638616.

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

407830395456 is a `hidden beast` number, since 4 + 0 + 78 + 30 + 3 + 95 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19651553856 + 388178841600 = 140184^2 + 623040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6912379555 + ... + 6912379613.

Almost surely, 2^407830395456 is an apocalyptic number.

407830395456 is the 638616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407830395456

407830395456 is an abundant number, since it is smaller than the sum of its proper divisors (931876887913).

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

407830395456 is a wasteful number, since it uses less digits than its factorization.

407830395456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 407830395456 in words is "four hundred seven billion, eight hundred thirty million, three hundred ninety-five thousand, four hundred fifty-six".