481194432 has 84 divisors (see below), whose sum is σ = 1430386776. Its totient is φ = 160392960.

The previous prime is 481194407. The next prime is 481194433. The reversal of 481194432 is 234491184.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481194433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 31022.

It is an arithmetic number, because the mean of its divisors is an integer number (17028414).

Almost surely, 2^481194432 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 481194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715193388).

481194432 is an abundant number, since it is smaller than the sum of its proper divisors (949192344).

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

481194432 is an equidigital number, since it uses as much as digits as its factorization.

481194432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30968 (or 30946 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 481194432 is about 21936.1444196559. The cubic root of 481194432 is about 783.6224407223.

The spelling of 481194432 in words is "four hundred eighty-one million, one hundred ninety-four thousand, four hundred thirty-two".