1258891200 has 672 divisors, whose sum is σ = 5502981120. Its totient is φ = 273715200.

The previous prime is 1258891187. The next prime is 1258891213. The reversal of 1258891200 is 21988521.

It is an interprime number because it is at equal distance from previous prime (1258891187) and next prime (1258891213).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955110 + ... + 6955290.

It is an arithmetic number, because the mean of its divisors is an integer number (8188960).

Almost surely, 2^1258891200 is an apocalyptic number.

1258891200 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 1258891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751490560).

1258891200 is an abundant number, since it is smaller than the sum of its proper divisors (4244089920).

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

1258891200 is a wasteful number, since it uses less digits than its factorization.

1258891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1258891200 is about 35480.8568103985. The cubic root of 1258891200 is about 1079.7653811339.

The spelling of 1258891200 in words is "one billion, two hundred fifty-eight million, eight hundred ninety-one thousand, two hundred".