473024000 has 160 divisors (see below), whose sum is σ = 1244786400. Its totient is φ = 178790400.

The previous prime is 473023987. The next prime is 473024033. The reversal of 473024000 is 420374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215806 + ... + 1216194.

It is an arithmetic number, because the mean of its divisors is an integer number (7779915).

Almost surely, 2^473024000 is an apocalyptic number.

473024000 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 473024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622393200).

473024000 is an abundant number, since it is smaller than the sum of its proper divisors (771762400).

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

473024000 is an equidigital number, since it uses as much as digits as its factorization.

473024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 473024000 is about 21749.1149245205. The cubic root of 473024000 is about 779.1619313326.

Adding to 473024000 its reverse (420374), we get a palindrome (473444374).

The spelling of 473024000 in words is "four hundred seventy-three million, twenty-four thousand".