1048464400 has 45 divisors (see below), whose sum is σ = 2520492541. Its totient is φ = 419126720.

The previous prime is 1048464359. The next prime is 1048464427. The reversal of 1048464400 is 44648401.

The square root of 1048464400 is 32380.

It is a perfect power (a square), and thus also a powerful number.

1048464400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 377447184 + 671017216 = 19428^2 + 25904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 646791 + ... + 648409.

Almost surely, 2^1048464400 is an apocalyptic number.

1048464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1048464400 is the 32380-th square number.

It is an amenable number.

1048464400 is an abundant number, since it is smaller than the sum of its proper divisors (1472028141).

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

1048464400 is an frugal number, since it uses more digits than its factorization.

1048464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The cubic root of 1048464400 is about 1015.9006299160.

The spelling of 1048464400 in words is "one billion, forty-eight million, four hundred sixty-four thousand, four hundred".