1250478000 has 480 divisors, whose sum is σ = 4731697152. Its totient is φ = 318816000.

The previous prime is 1250477957. The next prime is 1250478023. The reversal of 1250478000 is 8740521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15065959 + ... + 15066041.

Almost surely, 2^1250478000 is an apocalyptic number.

1250478000 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 1250478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365848576).

1250478000 is an abundant number, since it is smaller than the sum of its proper divisors (3481219152).

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

1250478000 is an equidigital number, since it uses as much as digits as its factorization.

1250478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

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

The square root of 1250478000 is about 35362.0983540287. The cubic root of 1250478000 is about 1077.3546368215.

The spelling of 1250478000 in words is "one billion, two hundred fifty million, four hundred seventy-eight thousand".