474364000 has 96 divisors (see below), whose sum is σ = 1271585952. Its totient is φ = 172480000.

The previous prime is 474363979. The next prime is 474364019. The reversal of 474364000 is 463474.

It is a self number, because there is not a number n which added to its sum of digits gives 474364000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38610 + ... + 49390.

It is an arithmetic number, because the mean of its divisors is an integer number (13245687).

Almost surely, 2^474364000 is an apocalyptic number.

474364000 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 474364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635792976).

474364000 is an abundant number, since it is smaller than the sum of its proper divisors (797221952).

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

474364000 is a wasteful number, since it uses less digits than its factorization.

474364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 474364000 is about 21779.8989896648. The cubic root of 474364000 is about 779.8969839844.

The spelling of 474364000 in words is "four hundred seventy-four million, three hundred sixty-four thousand".