1260257400 has 384 divisors, whose sum is σ = 4624704000. Its totient is φ = 314772480.

The previous prime is 1260257393. The next prime is 1260257429. The reversal of 1260257400 is 47520621.

1260257400 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 257 + 400 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9066531 + ... + 9066669.

It is an arithmetic number, because the mean of its divisors is an integer number (12043500).

Almost surely, 2^1260257400 is an apocalyptic number.

1260257400 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 1260257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312352000).

1260257400 is an abundant number, since it is smaller than the sum of its proper divisors (3364446600).

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

1260257400 is a wasteful number, since it uses less digits than its factorization.

1260257400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1260257400 is about 35500.1042251991. The cubic root of 1260257400 is about 1080.1558417088.

The spelling of 1260257400 in words is "one billion, two hundred sixty million, two hundred fifty-seven thousand, four hundred".