471193920 has 336 divisors, whose sum is σ = 1743456000. Its totient is φ = 116453376.

The previous prime is 471193909. The next prime is 471193937. The reversal of 471193920 is 29391174.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4322826 + ... + 4322934.

Almost surely, 2^471193920 is an apocalyptic number.

471193920 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 471193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871728000).

471193920 is an abundant number, since it is smaller than the sum of its proper divisors (1272262080).

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

471193920 is a wasteful number, since it uses less digits than its factorization.

471193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 471193920 is about 21707.0016354171. The cubic root of 471193920 is about 778.1558008807.

The spelling of 471193920 in words is "four hundred seventy-one million, one hundred ninety-three thousand, nine hundred twenty".