1024146468 has 18 divisors (see below), whose sum is σ = 2588814774. Its totient is φ = 341382144.

The previous prime is 1024146463. The next prime is 1024146469. The reversal of 1024146468 is 8646414201.

It is a happy number.

1024146468 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 4 + 646 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 619412544 + 404733924 = 24888^2 + 20118^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 28448513 = 1024146468 / (1 + 0 + 2 + 4 + 1 + 4 + 6 + 4 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (1024146463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14224221 + ... + 14224292.

It is an arithmetic number, because the mean of its divisors is an integer number (143823043).

Almost surely, 2^1024146468 is an apocalyptic number.

1024146468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1024146468 is an abundant number, since it is smaller than the sum of its proper divisors (1564668306).

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

1024146468 is a wasteful number, since it uses less digits than its factorization.

1024146468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28448523 (or 28448518 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1024146468 is about 32002.2884806696. The cubic root of 1024146468 is about 1007.9848944259.

The spelling of 1024146468 in words is "one billion, twenty-four million, one hundred forty-six thousand, four hundred sixty-eight".