420350175 has 144 divisors (see below), whose sum is σ = 916012800. Its totient is φ = 188395200.

The previous prime is 420350171. The next prime is 420350197. The reversal of 420350175 is 571053024.

It is a happy number.

It is not a de Polignac number, because 420350175 - 2² = 420350171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420350171) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2348236 + ... + 2348414.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^420350175 is an apocalyptic number.

420350175 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420350175 is an abundant number, since it is smaller than the sum of its proper divisors (495662625).

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

420350175 is a wasteful number, since it uses less digits than its factorization.

420350175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 420350175 is about 20502.4431470983. The cubic root of 420350175 is about 749.0953091514.

The spelling of 420350175 in words is "four hundred twenty million, three hundred fifty thousand, one hundred seventy-five".