470814400 has 168 divisors, whose sum is σ = 1338454016. Its totient is φ = 159667200.

The previous prime is 470814389. The next prime is 470814403. The reversal of 470814400 is 4418074.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (470814403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422235 + ... + 1422565.

Almost surely, 2^470814400 is an apocalyptic number.

470814400 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 470814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669227008).

470814400 is an abundant number, since it is smaller than the sum of its proper divisors (867639616).

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

470814400 is a wasteful number, since it uses less digits than its factorization.

470814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 470814400 is about 21698.2579945949. The cubic root of 470814400 is about 777.9468246313.

The spelling of 470814400 in words is "four hundred seventy million, eight hundred fourteen thousand, four hundred".