474886272 has 256 divisors, whose sum is σ = 1535385600. Its totient is φ = 127180800.

The previous prime is 474886271. The next prime is 474886283. The reversal of 474886272 is 272688474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (474886271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416379 + ... + 3416517.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^474886272 is an apocalyptic number.

474886272 is a gapful number since it is divisible by the number (42) 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 474886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767692800).

474886272 is an abundant number, since it is smaller than the sum of its proper divisors (1060499328).

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

474886272 is a wasteful number, since it uses less digits than its factorization.

474886272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 474886272 is about 21791.8854622541. The cubic root of 474886272 is about 780.1830996845.

The spelling of 474886272 in words is "four hundred seventy-four million, eight hundred eighty-six thousand, two hundred seventy-two".