472640 has 56 divisors (see below), whose sum is σ = 1292352. Its totient is φ = 161280.

The previous prime is 472639. The next prime is 472643. The reversal of 472640 is 46274.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (472643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2135 + ... + 2345.

2⁴⁷²⁶⁴⁰ is an apocalyptic number.

472640 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 472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646176).

472640 is an abundant number, since it is smaller than the sum of its proper divisors (819712).

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

472640 is a wasteful number, since it uses less digits than its factorization.

472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 472640 is about 687.4881817166. The cubic root of 472640 is about 77.8951033520.

The spelling of 472640 in words is "four hundred seventy-two thousand, six hundred forty".