171920400 has 120 divisors (see below), whose sum is σ = 574754880. Its totient is φ = 43845120.

The previous prime is 171920383. The next prime is 171920449. The reversal of 171920400 is 4029171.

171920400 = 2723² + 2724² + ... + 2745².

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24486 + ... + 30714.

It is an arithmetic number, because the mean of its divisors is an integer number (4789624).

Almost surely, 2^171920400 is an apocalyptic number.

171920400 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 171920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287377440).

171920400 is an abundant number, since it is smaller than the sum of its proper divisors (402834480).

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

171920400 is a wasteful number, since it uses less digits than its factorization.

171920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 171920400 is about 13111.8419758629. The cubic root of 171920400 is about 556.0439728519.

Adding to 171920400 its reverse (4029171), we get a palindrome (175949571).

The spelling of 171920400 in words is "one hundred seventy-one million, nine hundred twenty thousand, four hundred".