172431840 has 384 divisors, whose sum is σ = 680279040. Its totient is φ = 35831808.

The previous prime is 172431839. The next prime is 172431841. The reversal of 172431840 is 48134271.

It is an interprime number because it is at equal distance from previous prime (172431839) and next prime (172431841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172431798 and 172431807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172431841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2362044 + ... + 2362116.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2^172431840 is an apocalyptic number.

172431840 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 172431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340139520).

172431840 is an abundant number, since it is smaller than the sum of its proper divisors (507847200).

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

172431840 is a wasteful number, since it uses less digits than its factorization.

172431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 172431840 is about 13131.3304733374. The cubic root of 172431840 is about 556.5948122600.

The spelling of 172431840 in words is "one hundred seventy-two million, four hundred thirty-one thousand, eight hundred forty".