472128000 has 160 divisors (see below), whose sum is σ = 1570345920. Its totient is φ = 125849600.

The previous prime is 472127989. The next prime is 472128049. The reversal of 472128000 is 821274.

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 (24).

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, 190771 + ... + 193229.

It is an arithmetic number, because the mean of its divisors is an integer number (9814662).

Almost surely, 2^472128000 is an apocalyptic number.

472128000 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 472128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785172960).

472128000 is an abundant number, since it is smaller than the sum of its proper divisors (1098217920).

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

472128000 is an equidigital number, since it uses as much as digits as its factorization.

472128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 472128000 is about 21728.5066214869. The cubic root of 472128000 is about 778.6696586695.

Adding to 472128000 its reverse (821274), we get a palindrome (472949274).

The spelling of 472128000 in words is "four hundred seventy-two million, one hundred twenty-eight thousand".