471398400 has 576 divisors, whose sum is σ = 1949875200. Its totient is φ = 110592000.

The previous prime is 471398381. The next prime is 471398407. The reversal of 471398400 is 4893174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471398407) 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, 15206385 + ... + 15206415.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^471398400 is an apocalyptic number.

471398400 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 471398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

471398400 is an abundant number, since it is smaller than the sum of its proper divisors (1478476800).

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

471398400 is a wasteful number, since it uses less digits than its factorization.

471398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 471398400 is about 21711.7111255654. The cubic root of 471398400 is about 778.2683478103.

The spelling of 471398400 in words is "four hundred seventy-one million, three hundred ninety-eight thousand, four hundred".