470301000 has 256 divisors, whose sum is σ = 1635379200. Its totient is φ = 111744000.

The previous prime is 470300953. The next prime is 470301023. The reversal of 470301000 is 103074.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1208806 + ... + 1209194.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2^470301000 is an apocalyptic number.

470301000 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 470301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817689600).

470301000 is an abundant number, since it is smaller than the sum of its proper divisors (1165078200).

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

470301000 is a wasteful number, since it uses less digits than its factorization.

470301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 470301000 is about 21686.4243249089. The cubic root of 470301000 is about 777.6639508405.

Adding to 470301000 its reverse (103074), we get a palindrome (470404074).

The spelling of 470301000 in words is "four hundred seventy million, three hundred one thousand".