474001456968 has 192 divisors, whose sum is σ = 1414624302000. Its totient is φ = 142490327040.

The previous prime is 474001456927. The next prime is 474001456969. The reversal of 474001456968 is 869654100474.

474001456968 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 0 + 14 + 569 + 68 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50067642564 + 423933814404 = 223758^2 + 651102^2 .

It is not an unprimeable number, because it can be changed into a prime (474001456969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8479446 + ... + 8535162.

Almost surely, 2^474001456968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474001456968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707312151000).

474001456968 is an abundant number, since it is smaller than the sum of its proper divisors (940622845032).

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

474001456968 is a wasteful number, since it uses less digits than its factorization.

474001456968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55952 (or 55945 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 474001456968 in words is "four hundred seventy-four billion, one million, four hundred fifty-six thousand, nine hundred sixty-eight".