88488400 has 360 divisors, whose sum is σ = 303891264. Its totient is φ = 23961600.

The previous prime is 88488397. The next prime is 88488401. The reversal of 88488400 is 488488.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88488401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5205192 + ... + 5205208.

Almost surely, 2^88488400 is an apocalyptic number.

88488400 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 88488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151945632).

88488400 is an abundant number, since it is smaller than the sum of its proper divisors (215402864).

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

88488400 is a wasteful number, since it uses less digits than its factorization.

88488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 88488400 is about 9406.8273078653. The cubic root of 88488400 is about 445.6173731095.

It can be divided in two parts, 88488 and 400, that added together give a palindrome (88888).

The spelling of 88488400 in words is "eighty-eight million, four hundred eighty-eight thousand, four hundred".