4800642 has 32 divisors (see below), whose sum is σ = 11971584. Its totient is φ = 1246800.

The previous prime is 4800641. The next prime is 4800659. The reversal of 4800642 is 2460084.

It is a super-2 number, since 2×4800642² = 46092327224328, which contains 22 as substring.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4800641) 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, 4734 + ... + 5657.

It is an arithmetic number, because the mean of its divisors is an integer number (374112).

Almost surely, 2^4800642 is an apocalyptic number.

4800642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4800642 is an abundant number, since it is smaller than the sum of its proper divisors (7170942).

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

4800642 is a wasteful number, since it uses less digits than its factorization.

4800642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4800642 is about 2191.0367409060. The cubic root of 4800642 is about 168.6940533330.

The spelling of 4800642 in words is "four million, eight hundred thousand, six hundred forty-two".