472284480 has 224 divisors, whose sum is σ = 1627046784. Its totient is φ = 115605504.

The previous prime is 472284467. The next prime is 472284493. The reversal of 472284480 is 84482274.

It is an interprime number because it is at equal distance from previous prime (472284467) and next prime (472284493).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 701424 + ... + 702096.

Almost surely, 2^472284480 is an apocalyptic number.

472284480 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 472284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813523392).

472284480 is an abundant number, since it is smaller than the sum of its proper divisors (1154762304).

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

472284480 is a wasteful number, since it uses less digits than its factorization.

472284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 472284480 is about 21732.1071228724. The cubic root of 472284480 is about 778.7556754342.

The spelling of 472284480 in words is "four hundred seventy-two million, two hundred eighty-four thousand, four hundred eighty".