481074900 has 144 divisors (see below), whose sum is σ = 1467656064. Its totient is φ = 121425920.

The previous prime is 481074899. The next prime is 481074907. The reversal of 481074900 is 9470184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481074907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779392 + ... + 780008.

It is an arithmetic number, because the mean of its divisors is an integer number (10192056).

Almost surely, 2^481074900 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 481074900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733828032).

481074900 is an abundant number, since it is smaller than the sum of its proper divisors (986581164).

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

481074900 is a wasteful number, since it uses less digits than its factorization.

481074900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 481074900 is about 21933.4197060103. The cubic root of 481074900 is about 783.5575496178.

The spelling of 481074900 in words is "four hundred eighty-one million, seventy-four thousand, nine hundred".