481032800 has 36 divisors (see below), whose sum is σ = 1174323276. Its totient is φ = 192412800.

The previous prime is 481032791. The next prime is 481032809. The reversal of 481032800 is 8230184.

It is an interprime number because it is at equal distance from previous prime (481032791) and next prime (481032809).

It is a super-3 number, since 3×481032800³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 481032800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481032809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 299846 + ... + 301445.

It is an arithmetic number, because the mean of its divisors is an integer number (32620091).

Almost surely, 2^481032800 is an apocalyptic number.

481032800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481032800 is an abundant number, since it is smaller than the sum of its proper divisors (693290476).

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

481032800 is a wasteful number, since it uses less digits than its factorization.

481032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601311 (or 601298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 481032800 is about 21932.4599623480. The cubic root of 481032800 is about 783.5346919608.

Adding to 481032800 its reverse (8230184), we get a palindrome (489262984).

The spelling of 481032800 in words is "four hundred eighty-one million, thirty-two thousand, eight hundred".