474353568 has 288 divisors, whose sum is σ = 1546900992. Its totient is φ = 136857600.

The previous prime is 474353557. The next prime is 474353591. The reversal of 474353568 is 865353474.

474353568 is a `hidden beast` number, since 47 + 43 + 5 + 3 + 568 = 666.

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

It is a super-2 number, since 2×474353568² = 450022614948661248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7079871 + ... + 7079937.

It is an arithmetic number, because the mean of its divisors is an integer number (5371184).

Almost surely, 2^474353568 is an apocalyptic number.

474353568 is a gapful number since it is divisible by the number (48) 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 474353568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773450496).

474353568 is an abundant number, since it is smaller than the sum of its proper divisors (1072547424).

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

474353568 is a wasteful number, since it uses less digits than its factorization.

474353568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 474353568 is about 21779.6595014706. The cubic root of 474353568 is about 779.8912668944.

It can be divided in two parts, 4743 and 53568, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 474353568 in words is "four hundred seventy-four million, three hundred fifty-three thousand, five hundred sixty-eight".