1864393441 has 32 divisors (see below), whose sum is σ = 2026062720. Its totient is φ = 1712256000.

The previous prime is 1864393423. The next prime is 1864393459. The reversal of 1864393441 is 1443934681.

It is an interprime number because it is at equal distance from previous prime (1864393423) and next prime (1864393459).

It is a 3-Lehmer number, since φ(1864393441) divides (1864393441-1)³.

It is a cyclic number.

It is not a de Polignac number, because 1864393441 - 2⁷ = 1864393313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a deceptive number, since it divides R_1864393440.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1864393841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14231946 + ... + 14232076.

It is an arithmetic number, because the mean of its divisors is an integer number (63314460).

Almost surely, 2^1864393441 is an apocalyptic number.

It is an amenable number.

1864393441 is a deficient number, since it is larger than the sum of its proper divisors (161669279).

1864393441 is a wasteful number, since it uses less digits than its factorization.

1864393441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417.

The product of its digits is 248832, while the sum is 43.

The square root of 1864393441 is about 43178.6225000289. The cubic root of 1864393441 is about 1230.7764813152.

The spelling of 1864393441 in words is "one billion, eight hundred sixty-four million, three hundred ninety-three thousand, four hundred forty-one".