4992400 has 60 divisors (see below), whose sum is σ = 13715392. Its totient is φ = 1710720.

The previous prime is 4992389. The next prime is 4992401. The reversal of 4992400 is 42994.

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

It is not an unprimeable number, because it can be changed into a prime (4992401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1909 + ... + 3691.

Almost surely, 2^4992400 is an apocalyptic number.

4992400 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 4992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857696).

4992400 is an abundant number, since it is smaller than the sum of its proper divisors (8722992).

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

4992400 is a wasteful number, since it uses less digits than its factorization.

4992400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 4992400 is about 2234.3679195692. The cubic root of 4992400 is about 170.9109119523.

The spelling of 4992400 in words is "four million, nine hundred ninety-two thousand, four hundred".