470909030400 has 1248 divisors, whose sum is σ = 1882346843520. Its totient is φ = 114944901120.

The previous prime is 470909030323. The next prime is 470909030407. The reversal of 470909030400 is 4030909074.

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 (470909030407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2021068684 + ... + 2021068916.

It is an arithmetic number, because the mean of its divisors is an integer number (1508290740).

Almost surely, 2^470909030400 is an apocalyptic number.

470909030400 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 470909030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941173421760).

470909030400 is an abundant number, since it is smaller than the sum of its proper divisors (1411437813120).

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

470909030400 is a wasteful number, since it uses less digits than its factorization.

470909030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 470909030400 its reverse (4030909074), we get a palindrome (474939939474).

The spelling of 470909030400 in words is "four hundred seventy billion, nine hundred nine million, thirty thousand, four hundred".