472540320 has 432 divisors, whose sum is σ = 1937157768. Its totient is φ = 104509440.

The previous prime is 472540247. The next prime is 472540333. The reversal of 472540320 is 23045274.

It can be written as a sum of positive squares in 4 ways, for example, as 332259984 + 140280336 = 18228^2 + 11844^2 .

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 71 ways as a sum of consecutive naturals, for example, 2610630 + ... + 2610810.

Almost surely, 2^472540320 is an apocalyptic number.

472540320 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 472540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968578884).

472540320 is an abundant number, since it is smaller than the sum of its proper divisors (1464617448).

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

472540320 is a wasteful number, since it uses less digits than its factorization.

472540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 472540320 is about 21737.9925476112. The cubic root of 472540320 is about 778.8962692890.

Adding to 472540320 its reverse (23045274), we get a palindrome (495585594).

The spelling of 472540320 in words is "four hundred seventy-two million, five hundred forty thousand, three hundred twenty".