172410480 has 180 divisors, whose sum is σ = 636756120. Its totient is φ = 41775360.

The previous prime is 172410463. The next prime is 172410487. The reversal of 172410480 is 84014271.

172410480 is a `hidden beast` number, since 172 + 4 + 10 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×172410480² = 59450747227660800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172410487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86131 + ... + 88109.

It is an arithmetic number, because the mean of its divisors is an integer number (3537534).

Almost surely, 2^172410480 is an apocalyptic number.

172410480 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 172410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318378060).

172410480 is an abundant number, since it is smaller than the sum of its proper divisors (464345640).

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

172410480 is a wasteful number, since it uses less digits than its factorization.

172410480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 172410480 is about 13130.5171261455. The cubic root of 172410480 is about 556.5718285772.

The spelling of 172410480 in words is "one hundred seventy-two million, four hundred ten thousand, four hundred eighty".