474336000 has 432 divisors, whose sum is σ = 1799030688. Its totient is φ = 124416000.

The previous prime is 474335963. The next prime is 474336001. The reversal of 474336000 is 633474.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474336001) 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 47 ways as a sum of consecutive naturals, for example, 7775970 + ... + 7776030.

Almost surely, 2^474336000 is an apocalyptic number.

474336000 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 474336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899515344).

474336000 is an abundant number, since it is smaller than the sum of its proper divisors (1324694688).

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

474336000 is an frugal number, since it uses more digits than its factorization.

474336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 474336000 is about 21779.2561856460. The cubic root of 474336000 is about 779.8816388449.

Adding to 474336000 its reverse (633474), we get a palindrome (474969474).

The spelling of 474336000 in words is "four hundred seventy-four million, three hundred thirty-six thousand".