471993600 has 432 divisors, whose sum is σ = 1759998464. Its totient is φ = 110592000.

The previous prime is 471993583. The next prime is 471993601. The reversal of 471993600 is 6399174.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471993601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7737570 + ... + 7737630.

Almost surely, 2^471993600 is an apocalyptic number.

471993600 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 471993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879999232).

471993600 is an abundant number, since it is smaller than the sum of its proper divisors (1288004864).

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

471993600 is a wasteful number, since it uses less digits than its factorization.

471993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 471993600 is about 21725.4136899623. The cubic root of 471993600 is about 778.5957640659.

The spelling of 471993600 in words is "four hundred seventy-one million, nine hundred ninety-three thousand, six hundred".