472481416 has 96 divisors (see below), whose sum is σ = 1032402240. Its totient is φ = 200880000.

The previous prime is 472481413. The next prime is 472481431. The reversal of 472481416 is 614184274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (472481411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3128941 + ... + 3129091.

It is an arithmetic number, because the mean of its divisors is an integer number (10754190).

Almost surely, 2^472481416 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 472481416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516201120).

472481416 is an abundant number, since it is smaller than the sum of its proper divisors (559920824).

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

472481416 is a wasteful number, since it uses less digits than its factorization.

472481416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 472481416 is about 21736.6376424690. The cubic root of 472481416 is about 778.8639037882.

The spelling of 472481416 in words is "four hundred seventy-two million, four hundred eighty-one thousand, four hundred sixteen".