420552 has 80 divisors (see below), whose sum is σ = 1306800. Its totient is φ = 125280.

The previous prime is 420551. The next prime is 420557. The reversal of 420552 is 255024.

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

It is not an unprimeable number, because it can be changed into a prime (420551) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7099 + ... + 7157.

It is an arithmetic number, because the mean of its divisors is an integer number (16335).

2⁴²⁰⁵⁵² is an apocalyptic number.

It is a pronic number, being equal to 648×649.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653400).

420552 is an abundant number, since it is smaller than the sum of its proper divisors (886248).

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

420552 is a wasteful number, since it uses less digits than its factorization.

420552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 420552 is about 648.4998072475. The cubic root of 420552 is about 74.9215179028.

Adding to 420552 its reverse (255024), we get a palindrome (675576).

The spelling of 420552 in words is "four hundred twenty thousand, five hundred fifty-two".