471438023400 has 288 divisors, whose sum is σ = 1628648494200. Its totient is φ = 122122598400.

The previous prime is 471438023389. The next prime is 471438023401. The reversal of 471438023400 is 4320834174.

471438023400 is a `hidden beast` number, since 47 + 1 + 4 + 380 + 234 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 303585572196 + 167852451204 = 550986^2 + 409698^2 .

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

It is not an unprimeable number, because it can be changed into a prime (471438023401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44017246 + ... + 44027954.

Almost surely, 2^471438023400 is an apocalyptic number.

471438023400 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 471438023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814324247100).

471438023400 is an abundant number, since it is smaller than the sum of its proper divisors (1157210470800).

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

471438023400 is a wasteful number, since it uses less digits than its factorization.

471438023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 471438023400 its reverse (4320834174), we get a palindrome (475758857574).

The spelling of 471438023400 in words is "four hundred seventy-one billion, four hundred thirty-eight million, twenty-three thousand, four hundred".