1290863952 has 200 divisors, whose sum is σ = 4495198400. Its totient is φ = 349360128.

The previous prime is 1290863939. The next prime is 1290863957. The reversal of 1290863952 is 2593680921.

1290863952 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 8 + 639 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1290863898 and 1290863907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290863957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168624 + ... + 176112.

It is an arithmetic number, because the mean of its divisors is an integer number (22475992).

Almost surely, 2^1290863952 is an apocalyptic number.

1290863952 is a gapful number since it is divisible by the number (12) 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 1290863952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247599200).

1290863952 is an abundant number, since it is smaller than the sum of its proper divisors (3204334448).

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

1290863952 is a wasteful number, since it uses less digits than its factorization.

1290863952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1290863952 is about 35928.5951854508. The cubic root of 1290863952 is about 1088.8301991475.

The spelling of 1290863952 in words is "one billion, two hundred ninety million, eight hundred sixty-three thousand, nine hundred fifty-two".