4953920 has 56 divisors (see below), whose sum is σ = 11987784. Its totient is φ = 1949696.

The previous prime is 4953917. The next prime is 4953929. The reversal of 4953920 is 293594.

4953920 = 118² + 119² + ... + 254².

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 4946176 = 88^2 + 2224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953929) 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, 36092 + ... + 36228.

Almost surely, 2^4953920 is an apocalyptic number.

4953920 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 4953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993892).

4953920 is an abundant number, since it is smaller than the sum of its proper divisors (7033864).

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

4953920 is a wasteful number, since it uses less digits than its factorization.

4953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 4953920 is about 2225.7403262735. The cubic root of 4953920 is about 170.4706680076.

The spelling of 4953920 in words is "four million, nine hundred fifty-three thousand, nine hundred twenty".