11409948 has 36 divisors (see below), whose sum is σ = 31464888. Its totient is φ = 3457440.

The previous prime is 11409947. The next prime is 11409961. The reversal of 11409948 is 84990411.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×11409948³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11409947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14011 + ... + 14802.

Almost surely, 2^11409948 is an apocalyptic number.

11409948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11409948 is an abundant number, since it is smaller than the sum of its proper divisors (20054940).

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

11409948 is a wasteful number, since it uses less digits than its factorization.

11409948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28834 (or 28829 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11409948 is about 3377.8614536419. The cubic root of 11409948 is about 225.1271577535.

The spelling of 11409948 in words is "eleven million, four hundred nine thousand, nine hundred forty-eight".