475144320 has 128 divisors (see below), whose sum is σ = 1730931840. Its totient is φ = 108601344.

The previous prime is 475144303. The next prime is 475144357. The reversal of 475144320 is 23441574.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4237 + ... + 31116.

It is an arithmetic number, because the mean of its divisors is an integer number (13522905).

Almost surely, 2^475144320 is an apocalyptic number.

475144320 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 475144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865465920).

475144320 is an abundant number, since it is smaller than the sum of its proper divisors (1255787520).

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

475144320 is a wasteful number, since it uses less digits than its factorization.

475144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35382 (or 35370 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 475144320 is about 21797.8053941217. The cubic root of 475144320 is about 780.3243884137.

475144320 divided by its product of nonzero digits (13440) gives a palindrome (35353).

Adding to 475144320 its reverse (23441574), we get a palindrome (498585894).

The spelling of 475144320 in words is "four hundred seventy-five million, one hundred forty-four thousand, three hundred twenty".