472798080 has 128 divisors (see below), whose sum is σ = 1674554400. Its totient is φ = 126074880.

The previous prime is 472798057. The next prime is 472798087. The reversal of 472798080 is 80897274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472798087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600 + ... + 30960.

Almost surely, 2^472798080 is an apocalyptic number.

472798080 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 472798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837277200).

472798080 is an abundant number, since it is smaller than the sum of its proper divisors (1201756320).

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

472798080 is a wasteful number, since it uses less digits than its factorization.

472798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27389 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 472798080 is about 21743.9205296561. The cubic root of 472798080 is about 779.0378669475.

The spelling of 472798080 in words is "four hundred seventy-two million, seven hundred ninety-eight thousand, eighty".