88474400 has 216 divisors, whose sum is σ = 262272276. Its totient is φ = 29030400.

The previous prime is 88474381. The next prime is 88474411. The reversal of 88474400 is 447488.

It can be written as a sum of positive squares in 6 ways, for example, as 25684624 + 62789776 = 5068^2 + 7924^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1450370 + ... + 1450430.

Almost surely, 2^88474400 is an apocalyptic number.

88474400 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 88474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131136138).

88474400 is an abundant number, since it is smaller than the sum of its proper divisors (173797876).

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

88474400 is a wasteful number, since it uses less digits than its factorization.

88474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 88474400 is about 9406.0831380549. The cubic root of 88474400 is about 445.5938710751.

The spelling of 88474400 in words is "eighty-eight million, four hundred seventy-four thousand, four hundred".