472965480 has 384 divisors, whose sum is σ = 1816214400. Its totient is φ = 109734912.

The previous prime is 472965403. The next prime is 472965503. The reversal of 472965480 is 84569274.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2400742 + ... + 2400938.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2^472965480 is an apocalyptic number.

472965480 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 472965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

472965480 is an abundant number, since it is smaller than the sum of its proper divisors (1343248920).

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

472965480 is a wasteful number, since it uses less digits than its factorization.

472965480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 472965480 is about 21747.7695408058. The cubic root of 472965480 is about 779.1297987582.

The spelling of 472965480 in words is "four hundred seventy-two million, nine hundred sixty-five thousand, four hundred eighty".