472769024 has 160 divisors (see below), whose sum is σ = 1187007360. Its totient is φ = 183140352.

The previous prime is 472769021. The next prime is 472769027. The reversal of 472769024 is 420967274.

It is an interprime number because it is at equal distance from previous prime (472769021) and next prime (472769027).

It is not an unprimeable number, because it can be changed into a prime (472769021) 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 15 ways as a sum of consecutive naturals, for example, 3401147 + ... + 3401285.

It is an arithmetic number, because the mean of its divisors is an integer number (7418796).

Almost surely, 2^472769024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593503680).

472769024 is an abundant number, since it is smaller than the sum of its proper divisors (714238336).

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

472769024 is a wasteful number, since it uses less digits than its factorization.

472769024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 472769024 is about 21743.2523786116. The cubic root of 472769024 is about 779.0219079233.

The spelling of 472769024 in words is "four hundred seventy-two million, seven hundred sixty-nine thousand, twenty-four".