1253376000 has 408 divisors, whose sum is σ = 4784615784. Its totient is φ = 314572800.

The previous prime is 1253375891. The next prime is 1253376023. The reversal of 1253376000 is 6733521.

It is a happy number.

1253376000 is a `hidden beast` number, since 1 + 2 + 53 + 3 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 1248067584 = 2304^2 + 35328^2 .

It is a tau number, because it is divible by the number of its divisors (408).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73727992 + ... + 73728008.

Almost surely, 2^1253376000 is an apocalyptic number.

1253376000 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 1253376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392307892).

1253376000 is an abundant number, since it is smaller than the sum of its proper divisors (3531239784).

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

1253376000 is an frugal number, since it uses more digits than its factorization.

1253376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1253376000 is about 35403.0507160047. The cubic root of 1253376000 is about 1078.1862561289.

The spelling of 1253376000 in words is "one billion, two hundred fifty-three million, three hundred seventy-six thousand".