4957120 has 56 divisors (see below), whose sum is σ = 13496544. Its totient is φ = 1698816.

The previous prime is 4957109. The next prime is 4957123. The reversal of 4957120 is 217594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134 + ... + 3346.

Almost surely, 2^4957120 is an apocalyptic number.

4957120 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 4957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748272).

4957120 is an abundant number, since it is smaller than the sum of its proper divisors (8539424).

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

4957120 is a wasteful number, since it uses less digits than its factorization.

4957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 4957120 is about 2226.4590721592. The cubic root of 4957120 is about 170.5073654595.

The spelling of 4957120 in words is "four million, nine hundred fifty-seven thousand, one hundred twenty".