471203040 has 576 divisors, whose sum is σ = 1994872320. Its totient is φ = 91238400.

The previous prime is 471203023. The next prime is 471203071. The reversal of 471203040 is 40302174.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 471202998 and 471203016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7724610 + ... + 7724670.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2^471203040 is an apocalyptic number.

471203040 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 471203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

471203040 is an abundant number, since it is smaller than the sum of its proper divisors (1523669280).

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

471203040 is a wasteful number, since it uses less digits than its factorization.

471203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 471203040 is about 21707.2117048690. The cubic root of 471203040 is about 778.1608212731.

The spelling of 471203040 in words is "four hundred seventy-one million, two hundred three thousand, forty".