474848000 has 288 divisors, whose sum is σ = 1377492480. Its totient is φ = 161280000.

The previous prime is 474847999. The next prime is 474848009. The reversal of 474848000 is 848474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474848009) 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, 6687965 + ... + 6688035.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^474848000 is an apocalyptic number.

474848000 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 474848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

474848000 is an abundant number, since it is smaller than the sum of its proper divisors (902644480).

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

474848000 is a wasteful number, since it uses less digits than its factorization.

474848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 474848000 is about 21791.0073195344. The cubic root of 474848000 is about 780.1621403015.

The spelling of 474848000 in words is "four hundred seventy-four million, eight hundred forty-eight thousand".