381500454900 has 288 divisors, whose sum is σ = 1193323622400. Its totient is φ = 93812364800.

The previous prime is 381500454851. The next prime is 381500454943. The reversal of 381500454900 is 9454005183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203900965 + ... + 203902835.

It is an arithmetic number, because the mean of its divisors is an integer number (4143484800).

Almost surely, 2^381500454900 is an apocalyptic number.

381500454900 is a gapful number since it is divisible by the number (30) 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 381500454900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596661811200).

381500454900 is an abundant number, since it is smaller than the sum of its proper divisors (811823167500).

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

381500454900 is a wasteful number, since it uses less digits than its factorization.

381500454900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 381500454900 in words is "three hundred eighty-one billion, five hundred million, four hundred fifty-four thousand, nine hundred".