481809552 has 120 divisors (see below), whose sum is σ = 1460192256. Its totient is φ = 136491264.

The previous prime is 481809527. The next prime is 481809553. The reversal of 481809552 is 255908184.

It is a happy number.

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 (481809553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297898 + ... + 299510.

Almost surely, 2^481809552 is an apocalyptic number.

481809552 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 481809552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730096128).

481809552 is an abundant number, since it is smaller than the sum of its proper divisors (978382704).

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

481809552 is a wasteful number, since it uses less digits than its factorization.

481809552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 481809552 is about 21950.1606372254. The cubic root of 481809552 is about 783.9562050366.

The spelling of 481809552 in words is "four hundred eighty-one million, eight hundred nine thousand, five hundred fifty-two".