474958080 has 252 divisors, whose sum is σ = 1709080380. Its totient is φ = 126406656.

The previous prime is 474958079. The next prime is 474958103. The reversal of 474958080 is 80859474.

474958080 is a `hidden beast` number, since 4 + 7 + 495 + 80 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283855104 + 191102976 = 16848^2 + 13824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 932866 + ... + 933374.

It is an arithmetic number, because the mean of its divisors is an integer number (6782065).

Almost surely, 2^474958080 is an apocalyptic number.

474958080 is a gapful number since it is divisible by the number (40) 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 474958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854540190).

474958080 is an abundant number, since it is smaller than the sum of its proper divisors (1234122300).

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

474958080 is an frugal number, since it uses more digits than its factorization.

474958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 474958080 is about 21793.5329857277. The cubic root of 474958080 is about 780.2224217761. Note that the first 3 decimals are identical.

The spelling of 474958080 in words is "four hundred seventy-four million, nine hundred fifty-eight thousand, eighty".