1263404160 has 192 divisors, whose sum is σ = 4381448760. Its totient is φ = 335462400.

The previous prime is 1263404141. The next prime is 1263404179. The reversal of 1263404160 is 614043621.

1263404160 is a `hidden beast` number, since 12 + 634 + 0 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1263404141) and next prime (1263404179).

It can be written as a sum of positive squares in 4 ways, for example, as 449100864 + 814303296 = 21192^2 + 28536^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1263404160³ (a number of 28 digits) contains 333 as substring.

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, 2424700 + ... + 2425220.

It is a vampire number, since it can be written as 31260 ⋅ 40416 (with its own digits).

Almost surely, 2^1263404160 is an apocalyptic number.

1263404160 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 1263404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190724380).

1263404160 is an abundant number, since it is smaller than the sum of its proper divisors (3118044600).

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

1263404160 is a wasteful number, since it uses less digits than its factorization.

1263404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1263404160 is about 35544.3970268170. The cubic root of 1263404160 is about 1081.0541148481.

Adding to 1263404160 its reverse (614043621), we get a palindrome (1877447781).

The spelling of 1263404160 in words is "one billion, two hundred sixty-three million, four hundred four thousand, one hundred sixty".