474466560 has 144 divisors (see below), whose sum is σ = 1526917056. Its totient is φ = 125558784.

The previous prime is 474466543. The next prime is 474466567. The reversal of 474466560 is 65664474.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474466567) 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 15 ways as a sum of consecutive naturals, for example, 602487 + ... + 603273.

Almost surely, 2^474466560 is an apocalyptic number.

474466560 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 474466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763458528).

474466560 is an abundant number, since it is smaller than the sum of its proper divisors (1052450496).

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

474466560 is a wasteful number, since it uses less digits than its factorization.

474466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 474466560 is about 21782.2533269632. The cubic root of 474466560 is about 779.9531858820.

The spelling of 474466560 in words is "four hundred seventy-four million, four hundred sixty-six thousand, five hundred sixty".