1257338880 has 288 divisors, whose sum is σ = 4982796000. Its totient is φ = 287244288.

The previous prime is 1257338879. The next prime is 1257338897. The reversal of 1257338880 is 888337521.

1257338880 is a `hidden beast` number, since 125 + 73 + 388 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 644146 + ... + 646094.

It is an arithmetic number, because the mean of its divisors is an integer number (17301375).

Almost surely, 2^1257338880 is an apocalyptic number.

1257338880 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 1257338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491398000).

1257338880 is an abundant number, since it is smaller than the sum of its proper divisors (3725457120).

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

1257338880 is a wasteful number, since it uses less digits than its factorization.

1257338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1257338880 is about 35458.9746044637. The cubic root of 1257338880 is about 1079.3213843823.

The spelling of 1257338880 in words is "one billion, two hundred fifty-seven million, three hundred thirty-eight thousand, eight hundred eighty".