171480400 has 180 divisors, whose sum is σ = 516875772. Its totient is φ = 54190080.

The previous prime is 171480391. The next prime is 171480469. The reversal of 171480400 is 4084171.

It can be written as a sum of positive squares in 6 ways, for example, as 29203216 + 142277184 = 5404^2 + 11928^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 35 ways as a sum of consecutive naturals, for example, 254464 + ... + 255136.

Almost surely, 2^171480400 is an apocalyptic number.

171480400 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 171480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258437886).

171480400 is an abundant number, since it is smaller than the sum of its proper divisors (345395372).

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

171480400 is a wasteful number, since it uses less digits than its factorization.

171480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 171480400 is about 13095.0525008493. The cubic root of 171480400 is about 555.5692020352.

The spelling of 171480400 in words is "one hundred seventy-one million, four hundred eighty thousand, four hundred".