472989120 has 224 divisors, whose sum is σ = 1571524416. Its totient is φ = 120422400.

The previous prime is 472989091. The next prime is 472989133. The reversal of 472989120 is 21989274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400862 + ... + 2401058.

It is an arithmetic number, because the mean of its divisors is an integer number (7015734).

Almost surely, 2^472989120 is an apocalyptic number.

472989120 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 472989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785762208).

472989120 is an abundant number, since it is smaller than the sum of its proper divisors (1098535296).

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

472989120 is a wasteful number, since it uses less digits than its factorization.

472989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 472989120 is about 21748.3130380267. The cubic root of 472989120 is about 779.1427794953.

The spelling of 472989120 in words is "four hundred seventy-two million, nine hundred eighty-nine thousand, one hundred twenty".