88250400 has 432 divisors, whose sum is σ = 380225664. Its totient is φ = 18800640.

The previous prime is 88250399. The next prime is 88250411. The reversal of 88250400 is 405288.

88250400 is a `hidden beast` number, since 8 + 8 + 250 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856749 + ... + 856851.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 2^88250400 is an apocalyptic number.

88250400 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 88250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190112832).

88250400 is an abundant number, since it is smaller than the sum of its proper divisors (291975264).

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

88250400 is a wasteful number, since it uses less digits than its factorization.

88250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 88250400 is about 9394.1684038557. The cubic root of 88250400 is about 445.2175008801.

Adding to 88250400 its reverse (405288), we get a palindrome (88655688).

The spelling of 88250400 in words is "eighty-eight million, two hundred fifty thousand, four hundred".