4202400 has 144 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1044480.

The previous prime is 4202389. The next prime is 4202413. The reversal of 4202400 is 42024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40749 + ... + 40851.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

Almost surely, 2^4202400 is an apocalyptic number.

4202400 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 4202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4202400 is an abundant number, since it is smaller than the sum of its proper divisors (10421664).

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

4202400 is a wasteful number, since it uses less digits than its factorization.

4202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4202400 is about 2049.9756096110. The cubic root of 4202400 is about 161.3735907248.

Adding to 4202400 its reverse (42024), we get a palindrome (4244424).

Multiplying 4202400 by its reverse (42024), we get a square (176601657600 = 420240²).

4202400 divided by its reverse (42024) gives a square (100 = 10²).

The spelling of 4202400 in words is "four million, two hundred two thousand, four hundred".