481784352 has 192 divisors, whose sum is σ = 1545433344. Its totient is φ = 128286720.

The previous prime is 481784351. The next prime is 481784389. The reversal of 481784352 is 253487184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (481784351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2067628 + ... + 2067860.

It is an arithmetic number, because the mean of its divisors is an integer number (8049132).

Almost surely, 2^481784352 is an apocalyptic number.

481784352 is a gapful number since it is divisible by the number (42) 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 481784352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772716672).

481784352 is an abundant number, since it is smaller than the sum of its proper divisors (1063648992).

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

481784352 is a wasteful number, since it uses less digits than its factorization.

481784352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 481784352 is about 21949.5866020297. The cubic root of 481784352 is about 783.9425370906.

The spelling of 481784352 in words is "four hundred eighty-one million, seven hundred eighty-four thousand, three hundred fifty-two".