420611620 has 192 divisors, whose sum is σ = 1130879232. Its totient is φ = 129024000.

The previous prime is 420611617. The next prime is 420611647. The reversal of 420611620 is 26116024.

It is a super-4 number, since 4×420611620⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 420611591 and 420611600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1993315 + ... + 1993525.

It is an arithmetic number, because the mean of its divisors is an integer number (5889996).

Almost surely, 2^420611620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420611620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565439616).

420611620 is an abundant number, since it is smaller than the sum of its proper divisors (710267612).

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

420611620 is a wasteful number, since it uses less digits than its factorization.

420611620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 420611620 is about 20508.8181034403. The cubic root of 420611620 is about 749.2505817829.

Adding to 420611620 its reverse (26116024), we get a palindrome (446727644).

It can be divided in two parts, 42061 and 1620, that added together give a square (43681 = 209²).

The spelling of 420611620 in words is "four hundred twenty million, six hundred eleven thousand, six hundred twenty".