481359825 has 72 divisors (see below), whose sum is σ = 899728128. Its totient is φ = 245773440.

The previous prime is 481359799. The next prime is 481359869. The reversal of 481359825 is 528953184.

481359825 is a `hidden beast` number, since 48 + 13 + 598 + 2 + 5 = 666.

It is not a de Polignac number, because 481359825 - 2⁶ = 481359761 is a prime.

It is a super-2 number, since 2×481359825² = 463414562248061250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557344 + ... + 558206.

It is an arithmetic number, because the mean of its divisors is an integer number (12496224).

Almost surely, 2^481359825 is an apocalyptic number.

481359825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481359825 is a deficient number, since it is larger than the sum of its proper divisors (418368303).

481359825 is a wasteful number, since it uses less digits than its factorization.

481359825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 481359825 is about 21939.9139697493. The cubic root of 481359825 is about 783.7122109631.

The spelling of 481359825 in words is "four hundred eighty-one million, three hundred fifty-nine thousand, eight hundred twenty-five".