4542431400 has 240 divisors, whose sum is σ = 16990904700. Its totient is φ = 1118085120.

The previous prime is 4542431393. The next prime is 4542431401. The reversal of 4542431400 is 41342454.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 85266756 + 4457164644 = 9234^2 + 66762^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4542431401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 199816 + ... + 221384.

Almost surely, 2^4542431400 is an apocalyptic number.

4542431400 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 4542431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8495452350).

4542431400 is an abundant number, since it is smaller than the sum of its proper divisors (12448473300).

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

4542431400 is a wasteful number, since it uses less digits than its factorization.

4542431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21610 (or 21592 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4542431400 is about 67397.5622704560. The cubic root of 4542431400 is about 1656.1364884352.

Adding to 4542431400 its reverse (41342454), we get a palindrome (4583773854).

The spelling of 4542431400 in words is "four billion, five hundred forty-two million, four hundred thirty-one thousand, four hundred".