170080400 has 240 divisors, whose sum is σ = 516633600. Its totient is φ = 52462080.

The previous prime is 170080399. The next prime is 170080403. The reversal of 170080400 is 4080071.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (170080403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223531 + ... + 1223669.

It is an arithmetic number, because the mean of its divisors is an integer number (2152640).

Almost surely, 2^170080400 is an apocalyptic number.

170080400 is a gapful number since it is divisible by the number (10) 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 170080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258316800).

170080400 is an abundant number, since it is smaller than the sum of its proper divisors (346553200).

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

170080400 is a wasteful number, since it uses less digits than its factorization.

170080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 170080400 is about 13041.4876452037. The cubic root of 170080400 is about 554.0531429947.

The spelling of 170080400 in words is "one hundred seventy million, eighty thousand, four hundred".