1263343440 has 320 divisors, whose sum is σ = 4478284800. Its totient is φ = 292626432.

The previous prime is 1263343427. The next prime is 1263343481. The reversal of 1263343440 is 443433621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1263343398 and 1263343407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3333171 + ... + 3333549.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2^1263343440 is an apocalyptic number.

1263343440 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 1263343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239142400).

1263343440 is an abundant number, since it is smaller than the sum of its proper divisors (3214941360).

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

1263343440 is a wasteful number, since it uses less digits than its factorization.

1263343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 1263343440 is about 35543.5428734953. The cubic root of 1263343440 is about 1081.0367958567.

The spelling of 1263343440 in words is "one billion, two hundred sixty-three million, three hundred forty-three thousand, four hundred forty".