474291072 has 256 divisors, whose sum is σ = 1527552000. Its totient is φ = 144322560.

The previous prime is 474291071. The next prime is 474291079. The reversal of 474291072 is 270192474.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474291071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2035468 + ... + 2035700.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2^474291072 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 474291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763776000).

474291072 is an abundant number, since it is smaller than the sum of its proper divisors (1053260928).

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

474291072 is a wasteful number, since it uses less digits than its factorization.

474291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 474291072 is about 21778.2247210373. The cubic root of 474291072 is about 779.8570152106.

The spelling of 474291072 in words is "four hundred seventy-four million, two hundred ninety-one thousand, seventy-two".