481508352 has 132 divisors (see below), whose sum is σ = 1497667080. Its totient is φ = 148119552.

The previous prime is 481508351. The next prime is 481508383. The reversal of 481508352 is 253805184.

It is a happy number.

481508352 is a `hidden beast` number, since 481 + 50 + 83 + 52 = 666.

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 (481508351) 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, 117799 + ... + 121817.

Almost surely, 2^481508352 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 481508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748833540).

481508352 is an abundant number, since it is smaller than the sum of its proper divisors (1016158728).

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

481508352 is a wasteful number, since it uses less digits than its factorization.

481508352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 481508352 is about 21943.2985669885. The cubic root of 481508352 is about 783.7928093342.

The spelling of 481508352 in words is "four hundred eighty-one million, five hundred eight thousand, three hundred fifty-two".