11400948 has 72 divisors (see below), whose sum is σ = 32884488. Its totient is φ = 3299328.

The previous prime is 11400937. The next prime is 11400959. The reversal of 11400948 is 84900411.

It is an interprime number because it is at equal distance from previous prime (11400937) and next prime (11400959).

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 8538084 = 1692^2 + 2922^2 .

It is a congruent number.

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, 7240 + ... + 8672.

It is an arithmetic number, because the mean of its divisors is an integer number (456729).

Almost surely, 2^11400948 is an apocalyptic number.

11400948 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 11400948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442244).

11400948 is an abundant number, since it is smaller than the sum of its proper divisors (21483540).

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

11400948 is a wasteful number, since it uses less digits than its factorization.

11400948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11400948 is about 3376.5289869924. The cubic root of 11400948 is about 225.0679498475.

The spelling of 11400948 in words is "eleven million, four hundred thousand, nine hundred forty-eight".