470661400 has 96 divisors (see below), whose sum is σ = 1199142000. Its totient is φ = 170380800.

The previous prime is 470661379. The next prime is 470661403. The reversal of 470661400 is 4166074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470661403) by changing a digit.

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, 767494 + ... + 768106.

Almost surely, 2^470661400 is an apocalyptic number.

470661400 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 470661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599571000).

470661400 is an abundant number, since it is smaller than the sum of its proper divisors (728480600).

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

470661400 is a wasteful number, since it uses less digits than its factorization.

470661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 470661400 is about 21694.7320794704. The cubic root of 470661400 is about 777.8625460142.

The spelling of 470661400 in words is "four hundred seventy million, six hundred sixty-one thousand, four hundred".