472538880 has 432 divisors, whose sum is σ = 1859467680. Its totient is φ = 113541120.

The previous prime is 472538827. The next prime is 472538881. The reversal of 472538880 is 88835274.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×472538880² = 446585986223308800, which contains 22 as substring.

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 (472538881) 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, 4181704 + ... + 4181816.

Almost surely, 2^472538880 is an apocalyptic number.

472538880 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 472538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929733840).

472538880 is an abundant number, since it is smaller than the sum of its proper divisors (1386928800).

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

472538880 is a wasteful number, since it uses less digits than its factorization.

472538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 472538880 is about 21737.9594258523. The cubic root of 472538880 is about 778.8954780960.

The spelling of 472538880 in words is "four hundred seventy-two million, five hundred thirty-eight thousand, eight hundred eighty".