1024540800 has 384 divisors, whose sum is σ = 3665390400. Its totient is φ = 250675200.

The previous prime is 1024540789. The next prime is 1024540807. The reversal of 1024540800 is 80454201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1024540807) 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, 7478332 + ... + 7478468.

Almost surely, 2^1024540800 is an apocalyptic number.

1024540800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832695200).

1024540800 is an abundant number, since it is smaller than the sum of its proper divisors (2640849600).

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

1024540800 is a wasteful number, since it uses less digits than its factorization.

1024540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1024540800 is about 32008.4488846304. The cubic root of 1024540800 is about 1008.1142475696.

The spelling of 1024540800 in words is "one billion, twenty-four million, five hundred forty thousand, eight hundred".