481355424 has 216 divisors, whose sum is σ = 1585977120. Its totient is φ = 137998080.

The previous prime is 481355411. The next prime is 481355461. The reversal of 481355424 is 424553184.

It is a happy number.

481355424 is a `hidden beast` number, since 4 + 81 + 3 + 554 + 24 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661749 + ... + 662475.

Almost surely, 2^481355424 is an apocalyptic number.

481355424 is a gapful number since it is divisible by the number (44) 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 481355424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792988560).

481355424 is an abundant number, since it is smaller than the sum of its proper divisors (1104621696).

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

481355424 is a wasteful number, since it uses less digits than its factorization.

481355424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 762 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 481355424 is about 21939.8136728642. The cubic root of 481355424 is about 783.7098225018.

The spelling of 481355424 in words is "four hundred eighty-one million, three hundred fifty-five thousand, four hundred twenty-four".