88430400 has 336 divisors, whose sum is σ = 340156800. Its totient is φ = 22302720.

The previous prime is 88430393. The next prime is 88430431. The reversal of 88430400 is 403488.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993556 + ... + 993644.

Almost surely, 2^88430400 is an apocalyptic number.

88430400 is a gapful number since it is divisible by the number (80) 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 88430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

88430400 is an abundant number, since it is smaller than the sum of its proper divisors (251726400).

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

88430400 is a wasteful number, since it uses less digits than its factorization.

88430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 88430400 is about 9403.7439352632. The cubic root of 88430400 is about 445.5199913939.

Adding to 88430400 its reverse (403488), we get a palindrome (88833888).

The spelling of 88430400 in words is "eighty-eight million, four hundred thirty thousand, four hundred".