472980144 has 240 divisors, whose sum is σ = 1583232000. Its totient is φ = 120476160.

The previous prime is 472980143. The next prime is 472980163. The reversal of 472980144 is 441089274.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (472980143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947607 + ... + 948105.

It is an arithmetic number, because the mean of its divisors is an integer number (6596800).

Almost surely, 2^472980144 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 472980144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616000).

472980144 is an abundant number, since it is smaller than the sum of its proper divisors (1110251856).

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

472980144 is a wasteful number, since it uses less digits than its factorization.

472980144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 472980144 is about 21748.1066762144. The cubic root of 472980144 is about 779.1378508196.

The spelling of 472980144 in words is "four hundred seventy-two million, nine hundred eighty thousand, one hundred forty-four".