471488040 has 448 divisors, whose sum is σ = 1794268800. Its totient is φ = 110854656.

The previous prime is 471488029. The next prime is 471488041. The reversal of 471488040 is 40884174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 471487986 and 471488004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471488041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12742902 + ... + 12742938.

Almost surely, 2^471488040 is an apocalyptic number.

471488040 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 471488040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897134400).

471488040 is an abundant number, since it is smaller than the sum of its proper divisors (1322780760).

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

471488040 is a wasteful number, since it uses less digits than its factorization.

471488040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 471488040 is about 21713.7753511452. The cubic root of 471488040 is about 778.3176759039.

The spelling of 471488040 in words is "four hundred seventy-one million, four hundred eighty-eight thousand, forty".