4200503400 has 96 divisors (see below), whose sum is σ = 14468419200. Its totient is φ = 1120132800.

The previous prime is 4200503399. The next prime is 4200503401. The reversal of 4200503400 is 43050024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4200503399) and next prime (4200503401).

It is a super-3 number, since 3×4200503400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4200503401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383536 + ... + 394335.

It is an arithmetic number, because the mean of its divisors is an integer number (150712700).

Almost surely, 2^4200503400 is an apocalyptic number.

4200503400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200503400 is an abundant number, since it is smaller than the sum of its proper divisors (10267915800).

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

4200503400 is a wasteful number, since it uses less digits than its factorization.

4200503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777896 (or 777881 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4200503400 is about 64811.2906830284. The cubic root of 4200503400 is about 1613.4931037653.

Adding to 4200503400 its reverse (43050024), we get a palindrome (4243553424).

The spelling of 4200503400 in words is "four billion, two hundred million, five hundred three thousand, four hundred".