1257480000 has 420 divisors, whose sum is σ = 5157724000. Its totient is φ = 286848000.

The previous prime is 1257479957. The next prime is 1257480013. The reversal of 1257480000 is 847521.

1257480000 is a `hidden beast` number, since 12 + 574 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519751 + ... + 2520249.

Almost surely, 2^1257480000 is an apocalyptic number.

1257480000 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 1257480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578862000).

1257480000 is an abundant number, since it is smaller than the sum of its proper divisors (3900244000).

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

1257480000 is an equidigital number, since it uses as much as digits as its factorization.

1257480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 516 counting only the distinct ones).

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

The square root of 1257480000 is about 35460.9644538893. The cubic root of 1257480000 is about 1079.3617628191.

The spelling of 1257480000 in words is "one billion, two hundred fifty-seven million, four hundred eighty thousand".