1258272000 has 432 divisors, whose sum is σ = 4812614352. Its totient is φ = 314572800.

The previous prime is 1258271969. The next prime is 1258272007. The reversal of 1258272000 is 2728521.

1258272000 is a `hidden beast` number, since 12 + 582 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20358144 + 1237913856 = 4512^2 + 35184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258272007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4895872 + ... + 4896128.

It is an arithmetic number, because the mean of its divisors is an integer number (11140311).

Almost surely, 2^1258272000 is an apocalyptic number.

1258272000 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 1258272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406307176).

1258272000 is an abundant number, since it is smaller than the sum of its proper divisors (3554342352).

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

1258272000 is a wasteful number, since it uses less digits than its factorization.

1258272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1258272000 is about 35472.1299050395. The cubic root of 1258272000 is about 1079.5883204602.

The spelling of 1258272000 in words is "one billion, two hundred fifty-eight million, two hundred seventy-two thousand".