1468874205 has 48 divisors (see below), whose sum is σ = 2740096944. Its totient is φ = 725207040.

The previous prime is 1468874203. The next prime is 1468874227. The reversal of 1468874205 is 5024788641.

1468874205 is a `hidden beast` number, since 146 + 8 + 87 + 420 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29354724 + 1439519481 = 5418^2 + 37941^2 .

It is not a de Polignac number, because 1468874205 - 2¹ = 1468874203 is a prime.

It is a super-2 number, since 2×1468874205² = 4315182860228764050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468874203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30927 + ... + 62403.

It is an arithmetic number, because the mean of its divisors is an integer number (57085353).

Almost surely, 2^1468874205 is an apocalyptic number.

1468874205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1468874205 is a deficient number, since it is larger than the sum of its proper divisors (1271222739).

1468874205 is a wasteful number, since it uses less digits than its factorization.

1468874205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31566 (or 31563 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1468874205 is about 38325.8947057991. The cubic root of 1468874205 is about 1136.7410270130.

The spelling of 1468874205 in words is "one billion, four hundred sixty-eight million, eight hundred seventy-four thousand, two hundred five".