470629700 has 72 divisors (see below), whose sum is σ = 1092445704. Its totient is φ = 175360000.

The previous prime is 470629699. The next prime is 470629723. The reversal of 470629700 is 7926074.

It can be written as a sum of positive squares in 12 ways, for example, as 18386944 + 452242756 = 4288^2 + 21266^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170330 + ... + 173070.

It is an arithmetic number, because the mean of its divisors is an integer number (15172857).

Almost surely, 2^470629700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470629700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546222852).

470629700 is an abundant number, since it is smaller than the sum of its proper divisors (621816004).

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

470629700 is a wasteful number, since it uses less digits than its factorization.

470629700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 470629700 is about 21694.0014750622. The cubic root of 470629700 is about 777.8450820820.

The spelling of 470629700 in words is "four hundred seventy million, six hundred twenty-nine thousand, seven hundred".