470629600 has 144 divisors (see below), whose sum is σ = 1355913216. Its totient is φ = 156096000.

The previous prime is 470629591. The next prime is 470629619. The reversal of 470629600 is 6926074.

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 23 ways as a sum of consecutive naturals, for example, 172245 + ... + 174955.

It is an arithmetic number, because the mean of its divisors is an integer number (9416064).

Almost surely, 2^470629600 is an apocalyptic number.

470629600 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 470629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677956608).

470629600 is an abundant number, since it is smaller than the sum of its proper divisors (885283616).

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

470629600 is a wasteful number, since it uses less digits than its factorization.

470629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 470629600 is about 21693.9991702775. Note that the first 3 decimals coincide. The cubic root of 470629600 is about 777.8450269895.

The spelling of 470629600 in words is "four hundred seventy million, six hundred twenty-nine thousand, six hundred".