481784472 has 96 divisors (see below), whose sum is σ = 1409269680. Its totient is φ = 147813120.

The previous prime is 481784461. The next prime is 481784483. The reversal of 481784472 is 274487184.

481784472 is a `hidden beast` number, since 4 + 8 + 178 + 4 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (481784461) and next prime (481784483).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511522 + ... + 512462.

Almost surely, 2^481784472 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 481784472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704634840).

481784472 is an abundant number, since it is smaller than the sum of its proper divisors (927485208).

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

481784472 is a wasteful number, since it uses less digits than its factorization.

481784472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1506 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 481784472 is about 21949.5893355662. The cubic root of 481784472 is about 783.9426021772.

It can be divided in two parts, 48178 and 4472, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 481784472 in words is "four hundred eighty-one million, seven hundred eighty-four thousand, four hundred seventy-two".