381420900 has 405 divisors, whose sum is σ = 1486172457. Its totient is φ = 84369600.

The previous prime is 381420889. The next prime is 381420917. The reversal of 381420900 is 9024183.

The square root of 381420900 is 19530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137311524 + 244109376 = 11718^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12303885 + ... + 12303915.

Almost surely, 2^381420900 is an apocalyptic number.

381420900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

381420900 is the 19530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381420900

381420900 is an abundant number, since it is smaller than the sum of its proper divisors (1104751557).

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

381420900 is a wasteful number, since it uses less digits than its factorization.

381420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 381420900 is about 725.2173109964.

The spelling of 381420900 in words is "three hundred eighty-one million, four hundred twenty thousand, nine hundred".