420621564 has 48 divisors (see below), whose sum is σ = 1077140736. Its totient is φ = 126691200.

The previous prime is 420621559. The next prime is 420621569. The reversal of 420621564 is 465126024.

It is an interprime number because it is at equal distance from previous prime (420621559) and next prime (420621569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420621569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12504 + ... + 31584.

It is an arithmetic number, because the mean of its divisors is an integer number (22440432).

Almost surely, 2^420621564 is an apocalyptic number.

420621564 is a gapful number since it is divisible by the number (44) 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 420621564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538570368).

420621564 is an abundant number, since it is smaller than the sum of its proper divisors (656519172).

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

420621564 is a wasteful number, since it uses less digits than its factorization.

420621564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266 (or 19264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 420621564 is about 20509.0605343102. The cubic root of 420621564 is about 749.2564862711.

Adding to 420621564 its reverse (465126024), we get a palindrome (885747588).

The spelling of 420621564 in words is "four hundred twenty million, six hundred twenty-one thousand, five hundred sixty-four".