1024022400 has 96 divisors (see below), whose sum is σ = 3372905400. Its totient is φ = 273070080.

The previous prime is 1024022383. The next prime is 1024022413. The reversal of 1024022400 is 42204201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1024022400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43735 + ... + 62934.

Almost surely, 2^1024022400 is an apocalyptic number.

1024022400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024022400 is an abundant number, since it is smaller than the sum of its proper divisors (2348883000).

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

1024022400 is a wasteful number, since it uses less digits than its factorization.

1024022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106696 (or 106679 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1024022400 is about 32000.3499980860. The cubic root of 1024022400 is about 1007.9441894018.

Adding to 1024022400 its reverse (42204201), we get a palindrome (1066226601).

It can be divided in two parts, 10240 and 22400, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 1024022400 in words is "one billion, twenty-four million, twenty-two thousand, four hundred".