4092480 has 252 divisors, whose sum is σ = 16939260. Its totient is φ = 903168.

The previous prime is 4092479. The next prime is 4092503. The reversal of 4092480 is 842904.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 2286144 = 1344^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141106 + ... + 141134.

Almost surely, 2^4092480 is an apocalyptic number.

4092480 is a gapful number since it is divisible by the number (40) 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 4092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469630).

4092480 is an abundant number, since it is smaller than the sum of its proper divisors (12846780).

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

4092480 is a wasteful number, since it uses less digits than its factorization.

4092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4092480 is about 2022.9878892371. The cubic root of 4092480 is about 159.9541535311.

The spelling of 4092480 in words is "four million, ninety-two thousand, four hundred eighty".