1250379648 has 288 divisors, whose sum is σ = 4435151760. Its totient is φ = 335978496.

The previous prime is 1250379629. The next prime is 1250379653. The reversal of 1250379648 is 8469730521.

1250379648 is a `hidden beast` number, since 12 + 503 + 7 + 96 + 48 = 666.

1250379648 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

1250379648 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 958965 + ... + 960267.

It is a 1-persistent number, because it is pandigital, but 2⋅1250379648 = 2500759296 is not.

Almost surely, 2^1250379648 is an apocalyptic number.

1250379648 is a gapful number since it is divisible by the number (18) 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 1250379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217575880).

1250379648 is an abundant number, since it is smaller than the sum of its proper divisors (3184772112).

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

1250379648 is a wasteful number, since it uses less digits than its factorization.

1250379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1250379648 is about 35360.7076852260. The cubic root of 1250379648 is about 1077.3263908864.

The spelling of 1250379648 in words is "one billion, two hundred fifty million, three hundred seventy-nine thousand, six hundred forty-eight".