481433472 has 384 divisors, whose sum is σ = 1657393920. Its totient is φ = 132710400.

The previous prime is 481433471. The next prime is 481433483. The reversal of 481433472 is 274334184.

481433472 is a `hidden beast` number, since 48 + 143 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×481433472³ (a number of 27 digits) contains 333 as substring.

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 (481433471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7892322 + ... + 7892382.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 2^481433472 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 481433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

481433472 is an abundant number, since it is smaller than the sum of its proper divisors (1175960448).

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

481433472 is a wasteful number, since it uses less digits than its factorization.

481433472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 481433472 is about 21941.5922849733. The cubic root of 481433472 is about 783.7521776761.

It can be divided in two parts, 48143 and 3472, that added together give a palindrome (51615).

The spelling of 481433472 in words is "four hundred eighty-one million, four hundred thirty-three thousand, four hundred seventy-two".