4157520 has 80 divisors (see below), whose sum is σ = 13659840. Its totient is φ = 1042432.

The previous prime is 4157513. The next prime is 4157563. The reversal of 4157520 is 257514.

4157520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2039²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3571 + ... + 4589.

It is an arithmetic number, because the mean of its divisors is an integer number (170748).

Almost surely, 2^4157520 is an apocalyptic number.

4157520 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 4157520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829920).

4157520 is an abundant number, since it is smaller than the sum of its proper divisors (9502320).

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

4157520 is a wasteful number, since it uses less digits than its factorization.

4157520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 4157520 is about 2038.9997547817. Note that the first 3 decimals coincide. The cubic root of 4157520 is about 160.7970643755.

The spelling of 4157520 in words is "four million, one hundred fifty-seven thousand, five hundred twenty".