1024400466 has 64 divisors (see below), whose sum is σ = 2478960000. Its totient is φ = 312330816.

The previous prime is 1024400449. The next prime is 1024400491. The reversal of 1024400466 is 6640044201.

1024400466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12540 + ... + 46968.

It is an arithmetic number, because the mean of its divisors is an integer number (38733750).

Almost surely, 2^1024400466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024400466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239480000).

1024400466 is an abundant number, since it is smaller than the sum of its proper divisors (1454559534).

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

1024400466 is a wasteful number, since it uses less digits than its factorization.

1024400466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34488 (or 34482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1024400466 is about 32006.2566695951. The cubic root of 1024400466 is about 1008.0682174637.

Adding to 1024400466 its reverse (6640044201), we get a palindrome (7664444667).

The spelling of 1024400466 in words is "one billion, twenty-four million, four hundred thousand, four hundred sixty-six".