11402920 has 64 divisors (see below), whose sum is σ = 27896400. Its totient is φ = 4177920.

The previous prime is 11402873. The next prime is 11402933. The reversal of 11402920 is 2920411.

11402920 = T₁ + T₂ + ... + T₄₀₈.

11402920 is a nontrivial binomial coefficient, being equal to C(410, 3).

It can be written as a sum of positive squares in 8 ways, for example, as 6140484 + 5262436 = 2478^2 + 2294^2 .

It is a super-3 number, since 3×11402920³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is the 408-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27676 + ... + 28084.

Almost surely, 2^11402920 is an apocalyptic number.

11402920 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 11402920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948200).

11402920 is an abundant number, since it is smaller than the sum of its proper divisors (16493480).

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

11402920 is a wasteful number, since it uses less digits than its factorization.

11402920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11402920 is about 3376.8209902214. The cubic root of 11402920 is about 225.0809256225.

The spelling of 11402920 in words is "eleven million, four hundred two thousand, nine hundred twenty".