471838208400 has 480 divisors, whose sum is σ = 1815398807040. Its totient is φ = 115706880000.

The previous prime is 471838208357. The next prime is 471838208431. The reversal of 471838208400 is 4802838174.

471838208400 is a `hidden beast` number, since 4 + 7 + 1 + 8 + 38 + 208 + 400 = 666.

It is a super-2 number, since 2×471838208400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 38042200 + ... + 38054600.

It is an arithmetic number, because the mean of its divisors is an integer number (3782080848).

Almost surely, 2^471838208400 is an apocalyptic number.

471838208400 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 471838208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907699403520).

471838208400 is an abundant number, since it is smaller than the sum of its proper divisors (1343560598640).

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

471838208400 is a wasteful number, since it uses less digits than its factorization.

471838208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12712 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 471838208400 in words is "four hundred seventy-one billion, eight hundred thirty-eight million, two hundred eight thousand, four hundred".