472962120 has 96 divisors (see below), whose sum is σ = 1458777600. Its totient is φ = 122671872.

The previous prime is 472962107. The next prime is 472962121. The reversal of 472962120 is 21269274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472962121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 162841 + ... + 165719.

It is an arithmetic number, because the mean of its divisors is an integer number (15195600).

Almost surely, 2^472962120 is an apocalyptic number.

472962120 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 472962120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729388800).

472962120 is an abundant number, since it is smaller than the sum of its proper divisors (985815480).

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

472962120 is a wasteful number, since it uses less digits than its factorization.

472962120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 472962120 is about 21747.6922913674. The cubic root of 472962120 is about 779.1279537453.

The spelling of 472962120 in words is "four hundred seventy-two million, nine hundred sixty-two thousand, one hundred twenty".