1024734400 has 84 divisors (see below), whose sum is σ = 2541254760. Its totient is φ = 406681600.

The previous prime is 1024734281. The next prime is 1024734413. The reversal of 1024734400 is 44374201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207156 + ... + 212044.

Almost surely, 2^1024734400 is an apocalyptic number.

1024734400 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 1024734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270627380).

1024734400 is an abundant number, since it is smaller than the sum of its proper divisors (1516520360).

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

1024734400 is a wasteful number, since it uses less digits than its factorization.

1024734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 1024734400 is about 32011.4729433058. The cubic root of 1024734400 is about 1008.1777422352.

The spelling of 1024734400 in words is "one billion, twenty-four million, seven hundred thirty-four thousand, four hundred".