381077504 has 96 divisors (see below), whose sum is σ = 806682240. Its totient is φ = 179748864.

The previous prime is 381077503. The next prime is 381077507. The reversal of 381077504 is 405770183.

It is not an unprimeable number, because it can be changed into a prime (381077503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3561419 + ... + 3561525.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^381077504 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 381077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

381077504 is an abundant number, since it is smaller than the sum of its proper divisors (425604736).

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

381077504 is a wasteful number, since it uses less digits than its factorization.

381077504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 381077504 is about 19521.2065200899. The cubic root of 381077504 is about 724.9996061829. Note that the first 3 decimals are identical.

The spelling of 381077504 in words is "three hundred eighty-one million, seventy-seven thousand, five hundred four".