381294753 has 32 divisors (see below), whose sum is σ = 590641920. Its totient is φ = 214306560.

The previous prime is 381294737. The next prime is 381294763. The reversal of 381294753 is 357492183.

It is not a de Polignac number, because 381294753 - 2⁴ = 381294737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (381294703) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 358843 + ... + 359903.

It is an arithmetic number, because the mean of its divisors is an integer number (18457560).

Almost surely, 2^381294753 is an apocalyptic number.

It is an amenable number.

381294753 is a deficient number, since it is larger than the sum of its proper divisors (209347167).

381294753 is a wasteful number, since it uses less digits than its factorization.

381294753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337.

The product of its digits is 181440, while the sum is 42.

The square root of 381294753 is about 19526.7701630352. The cubic root of 381294753 is about 725.1373520189.

The spelling of 381294753 in words is "three hundred eighty-one million, two hundred ninety-four thousand, seven hundred fifty-three".