474480000 has 240 divisors, whose sum is σ = 1708749900. Its totient is φ = 126336000.

The previous prime is 474479983. The next prime is 474480011. The reversal of 474480000 is 84474.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719671 + ... + 720329.

Almost surely, 2^474480000 is an apocalyptic number.

474480000 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 474480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854374950).

474480000 is an abundant number, since it is smaller than the sum of its proper divisors (1234269900).

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

474480000 is an equidigital number, since it uses as much as digits as its factorization.

474480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 474480000 is about 21782.5618328056. The cubic root of 474480000 is about 779.9605502730.

The spelling of 474480000 in words is "four hundred seventy-four million, four hundred eighty thousand".