4996000 has 48 divisors (see below), whose sum is σ = 12285000. Its totient is φ = 1996800.

The previous prime is 4995997. The next prime is 4996003. The reversal of 4996000 is 6994.

It is an interprime number because it is at equal distance from previous prime (4995997) and next prime (4996003).

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 3732624 = 1124^2 + 1932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4996000.

It is not an unprimeable number, because it can be changed into a prime (4996003) 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, 3376 + ... + 4624.

Almost surely, 2^4996000 is an apocalyptic number.

4996000 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 4996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142500).

4996000 is an abundant number, since it is smaller than the sum of its proper divisors (7289000).

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

4996000 is a wasteful number, since it uses less digits than its factorization.

4996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 4996000 is about 2235.1733713518. The cubic root of 4996000 is about 170.9519831439.

It can be divided in two parts, 4 and 996000, that added together give a square (996004 = 998²).

The spelling of 4996000 in words is "four million, nine hundred ninety-six thousand".