470620800 has 384 divisors, whose sum is σ = 1859256000. Its totient is φ = 115568640.

The previous prime is 470620789. The next prime is 470620841. The reversal of 470620800 is 8026074.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122991 + ... + 1123409.

Almost surely, 2^470620800 is an apocalyptic number.

470620800 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 470620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929628000).

470620800 is an abundant number, since it is smaller than the sum of its proper divisors (1388635200).

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

470620800 is a wasteful number, since it uses less digits than its factorization.

470620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 470620800 is about 21693.7963482651. The cubic root of 470620800 is about 777.8401788181.

Adding to 470620800 its reverse (8026074), we get a palindrome (478646874).

The spelling of 470620800 in words is "four hundred seventy million, six hundred twenty thousand, eight hundred".