436494457056 has 576 divisors, whose sum is σ = 1436409676800. Its totient is φ = 115790653440.

The previous prime is 436494457039. The next prime is 436494457099. The reversal of 436494457056 is 650754494634.

It is a super-2 number, since 2×436494457056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 436494456987 and 436494457005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1036803726 + ... + 1036804146.

It is an arithmetic number, because the mean of its divisors is an integer number (2493766800).

Almost surely, 2^436494457056 is an apocalyptic number.

436494457056 is a gapful number since it is divisible by the number (46) 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 436494457056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718204838400).

436494457056 is an abundant number, since it is smaller than the sum of its proper divisors (999915219744).

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

436494457056 is a wasteful number, since it uses less digits than its factorization.

436494457056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 436494457056 in words is "four hundred thirty-six billion, four hundred ninety-four million, four hundred fifty-seven thousand, fifty-six".