471068400 has 240 divisors, whose sum is σ = 1665036288. Its totient is φ = 112896000.

The previous prime is 471068383. The next prime is 471068401. The reversal of 471068400 is 4860174.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471068401) 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, 1676260 + ... + 1676540.

Almost surely, 2^471068400 is an apocalyptic number.

471068400 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 471068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832518144).

471068400 is an abundant number, since it is smaller than the sum of its proper divisors (1193967888).

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

471068400 is a wasteful number, since it uses less digits than its factorization.

471068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 471068400 is about 21704.1102098197. The cubic root of 471068400 is about 778.0866978453.

The spelling of 471068400 in words is "four hundred seventy-one million, sixty-eight thousand, four hundred".