420580 has 24 divisors (see below), whose sum is σ = 935928. Its totient is φ = 158208.

The previous prime is 420571. The next prime is 420593. The reversal of 420580 is 85024.

420580 = T₁₉₅ + T₁₉₆ + ... + T₂₁₄.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 285156 = 368^2 + 534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 958.

It is an arithmetic number, because the mean of its divisors is an integer number (38997).

2⁴²⁰⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

420580 is an abundant number, since it is smaller than the sum of its proper divisors (515348).

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

420580 is a wasteful number, since it uses less digits than its factorization.

420580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 420580 is about 648.5213951752. The cubic root of 420580 is about 74.9231806032.

It can be divided in two parts, 4205 and 80, that multiplied together give a square (336400 = 580²).

The spelling of 420580 in words is "four hundred twenty thousand, five hundred eighty".