1024064400 has 60 divisors (see below), whose sum is σ = 3280423472. Its totient is φ = 273083520.

The previous prime is 1024064399. The next prime is 1024064423. The reversal of 1024064400 is 44604201.

1024064400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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, 425494 + ... + 427893.

Almost surely, 2^1024064400 is an apocalyptic number.

1024064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024064400 is an abundant number, since it is smaller than the sum of its proper divisors (2256359072).

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

1024064400 is a wasteful number, since it uses less digits than its factorization.

1024064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853408 (or 853397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1024064400 is about 32001.0062341796. The cubic root of 1024064400 is about 1007.9579693989.

Adding to 1024064400 its reverse (44604201), we get a palindrome (1068668601).

The spelling of 1024064400 in words is "one billion, twenty-four million, sixty-four thousand, four hundred".