1263975408 has 160 divisors (see below), whose sum is σ = 3733689600. Its totient is φ = 409248000.

The previous prime is 1263975407. The next prime is 1263975409. The reversal of 1263975408 is 8045793621.

1263975408 is a `hidden beast` number, since 1 + 2 + 639 + 7 + 5 + 4 + 0 + 8 = 666.

1263975408 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1263975407) and next prime (1263975409).

1263975408 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263975403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2574043 + ... + 2574533.

It is an arithmetic number, because the mean of its divisors is an integer number (23335560).

It is a 1-persistent number, because it is pandigital, but 2⋅1263975408 = 2527950816 is not.

Almost surely, 2^1263975408 is an apocalyptic number.

1263975408 is a gapful number since it is divisible by the number (18) 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 1263975408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866844800).

1263975408 is an abundant number, since it is smaller than the sum of its proper divisors (2469714192).

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

1263975408 is a wasteful number, since it uses less digits than its factorization.

1263975408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1263975408 is about 35552.4318155594. The cubic root of 1263975408 is about 1081.2170231158.

The spelling of 1263975408 in words is "one billion, two hundred sixty-three million, nine hundred seventy-five thousand, four hundred eight".