470993600 has 168 divisors, whose sum is σ = 1445288448. Its totient is φ = 146764800.

The previous prime is 470993599. The next prime is 470993647. The reversal of 470993600 is 6399074.

470993600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 121289 + ... + 125111.

Almost surely, 2^470993600 is an apocalyptic number.

470993600 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 470993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722644224).

470993600 is an abundant number, since it is smaller than the sum of its proper divisors (974294848).

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

470993600 is a wasteful number, since it uses less digits than its factorization.

470993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 470993600 is about 21702.3869654930. The cubic root of 470993600 is about 778.0455120601.

The spelling of 470993600 in words is "four hundred seventy million, nine hundred ninety-three thousand, six hundred".