1258830400 has 63 divisors (see below), whose sum is σ = 3101005609. Its totient is φ = 502964480.

The previous prime is 1258830379. The next prime is 1258830437. The reversal of 1258830400 is 40388521.

The square root of 1258830400 is 35480.

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

It can be written as a sum of positive squares in only one way, i.e., 453178944 + 805651456 = 21288^2 + 28384^2 .

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, 1418757 + ... + 1419643.

Almost surely, 2^1258830400 is an apocalyptic number.

1258830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1258830400 is the 35480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258830400

1258830400 is an abundant number, since it is smaller than the sum of its proper divisors (1842175209).

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

1258830400 is an frugal number, since it uses more digits than its factorization.

1258830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The cubic root of 1258830400 is about 1079.7479979023.

The spelling of 1258830400 in words is "one billion, two hundred fifty-eight million, eight hundred thirty thousand, four hundred".