471494400 has 216 divisors, whose sum is σ = 1676611440. Its totient is φ = 115998720.

The previous prime is 471494381. The next prime is 471494423. The reversal of 471494400 is 4494174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248656 + ... + 250544.

It is an arithmetic number, because the mean of its divisors is an integer number (7762090).

Almost surely, 2^471494400 is an apocalyptic number.

471494400 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 471494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838305720).

471494400 is an abundant number, since it is smaller than the sum of its proper divisors (1205117040).

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

471494400 is a wasteful number, since it uses less digits than its factorization.

471494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 471494400 is about 21713.9218014618. The cubic root of 471494400 is about 778.3211755177.

The spelling of 471494400 in words is "four hundred seventy-one million, four hundred ninety-four thousand, four hundred".