420516 has 18 divisors (see below), whose sum is σ = 1063062. Its totient is φ = 140160.

The previous prime is 420503. The next prime is 420521. The reversal of 420516 is 615024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 60516 = 600^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5805 + ... + 5876.

It is an arithmetic number, because the mean of its divisors is an integer number (59059).

2⁴²⁰⁵¹⁶ is an apocalyptic number.

It is an amenable number.

420516 is an abundant number, since it is smaller than the sum of its proper divisors (642546).

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

420516 is a wasteful number, since it uses less digits than its factorization.

420516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11691 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 420516 is about 648.4720502844. The cubic root of 420516 is about 74.9193800367.

The spelling of 420516 in words is "four hundred twenty thousand, five hundred sixteen".