1260230400 has 1080 divisors, whose sum is σ = 5796285264. Its totient is φ = 265420800.

The previous prime is 1260230399. The next prime is 1260230401. The reversal of 1260230400 is 40320621.

It is a happy number.

1260230400 is a `hidden beast` number, since 1 + 260 + 2 + 3 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1260230399) and next prime (1260230401).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×1260230400² = 3176361322168320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260230401) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 74131192 + ... + 74131208.

Almost surely, 2^1260230400 is an apocalyptic number.

1260230400 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 1260230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898142632).

1260230400 is an abundant number, since it is smaller than the sum of its proper divisors (4536054864).

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

1260230400 is a wasteful number, since it uses less digits than its factorization.

1260230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1260230400 is about 35499.7239425886. The cubic root of 1260230400 is about 1080.1481278307.

The spelling of 1260230400 in words is "one billion, two hundred sixty million, two hundred thirty thousand, four hundred".