470610000 has 500 divisors, whose sum is σ = 1968644832. Its totient is φ = 106272000.

The previous prime is 470609983. The next prime is 470610029. The reversal of 470610000 is 16074.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5669959 + ... + 5670041.

Almost surely, 2^470610000 is an apocalyptic number.

470610000 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 470610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984322416).

470610000 is an abundant number, since it is smaller than the sum of its proper divisors (1498034832).

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

470610000 is an equidigital number, since it uses as much as digits as its factorization.

470610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 470610000 is about 21693.5474277491. The cubic root of 470610000 is about 777.8342287069.

Adding to 470610000 its reverse (16074), we get a palindrome (470626074).

It can be divided in two parts, 4706 and 10000, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 470610000 in words is "four hundred seventy million, six hundred ten thousand".