4952000 has 56 divisors (see below), whose sum is σ = 12283440. Its totient is φ = 1977600.

The previous prime is 4951997. The next prime is 4952023. The reversal of 4952000 is 2594.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 7691 + ... + 8309.

Almost surely, 2^4952000 is an apocalyptic number.

4952000 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 4952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141720).

4952000 is an abundant number, since it is smaller than the sum of its proper divisors (7331440).

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

4952000 is an equidigital number, since it uses as much as digits as its factorization.

4952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 4952000 is about 2225.3089673122. The cubic root of 4952000 is about 170.4486419504.

Adding to 4952000 its reverse (2594), we get a palindrome (4954594).

The spelling of 4952000 in words is "four million, nine hundred fifty-two thousand".