420173040 has 120 divisors (see below), whose sum is σ = 1515237840. Its totient is φ = 96036864.

The previous prime is 420173009. The next prime is 420173041. The reversal of 420173040 is 40371024.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 420172998 and 420173016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420173041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6105 + ... + 29624.

It is an arithmetic number, because the mean of its divisors is an integer number (12626982).

Almost surely, 2^420173040 is an apocalyptic number.

420173040 is a gapful number since it is divisible by the number (40) 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 420173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757618920).

420173040 is an abundant number, since it is smaller than the sum of its proper divisors (1095064800).

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

420173040 is a wasteful number, since it uses less digits than its factorization.

420173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35759 (or 35746 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 420173040 is about 20498.1228408847. The cubic root of 420173040 is about 748.9900717815.

The spelling of 420173040 in words is "four hundred twenty million, one hundred seventy-three thousand, forty".