4124880 has 120 divisors (see below), whose sum is σ = 14711112. Its totient is φ = 1032192.

The previous prime is 4124837. The next prime is 4124899. The reversal of 4124880 is 884214.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 3640464 = 696^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 12072 + ... + 12408.

Almost surely, 2^4124880 is an apocalyptic number.

4124880 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 4124880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355556).

4124880 is an abundant number, since it is smaller than the sum of its proper divisors (10586232).

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

4124880 is a wasteful number, since it uses less digits than its factorization.

4124880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4124880 is about 2030.9800589863. The cubic root of 4124880 is about 160.3751613166.

It can be divided in two parts, 41248 and 80, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 4124880 in words is "four million, one hundred twenty-four thousand, eight hundred eighty".