472335480 has 192 divisors, whose sum is σ = 1642174560. Its totient is φ = 117325824.

The previous prime is 472335433. The next prime is 472335481. The reversal of 472335480 is 84533274.

It is a happy number.

472335480 is a nontrivial binomial coefficient, being equal to C(30736, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472335481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691219 + ... + 691901.

Almost surely, 2^472335480 is an apocalyptic number.

472335480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472335480 is the 30735-th triangular number and also the 15368-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472335480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821087280).

472335480 is an abundant number, since it is smaller than the sum of its proper divisors (1169839080).

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

472335480 is a wasteful number, since it uses less digits than its factorization.

472335480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 472335480 is about 21733.2804702834. The cubic root of 472335480 is about 778.7837059339.

The spelling of 472335480 in words is "four hundred seventy-two million, three hundred thirty-five thousand, four hundred eighty".