4992000 has 176 divisors, whose sum is σ = 17882592. Its totient is φ = 1228800.

The previous prime is 4991983. The next prime is 4992007. The reversal of 4992000 is 2994.

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

It is not an unprimeable number, because it can be changed into a prime (4992007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383994 + ... + 384006.

Almost surely, 2^4992000 is an apocalyptic number.

4992000 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 4992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941296).

4992000 is an abundant number, since it is smaller than the sum of its proper divisors (12890592).

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

4992000 is a wasteful number, since it uses less digits than its factorization.

4992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4992000 is about 2234.2784070030. The cubic root of 4992000 is about 170.9063472679.

Adding to 4992000 its reverse (2994), we get a palindrome (4994994).

The spelling of 4992000 in words is "four million, nine hundred ninety-two thousand".