201630420 has 144 divisors (see below), whose sum is σ = 645345792. Its totient is φ = 50856960.

The previous prime is 201630409. The next prime is 201630439. The reversal of 201630420 is 24036102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 201630393 and 201630402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467605 + ... + 468035.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2^201630420 is an apocalyptic number.

201630420 is a gapful number since it is divisible by the number (20) 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 201630420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322672896).

201630420 is an abundant number, since it is smaller than the sum of its proper divisors (443715372).

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

201630420 is a wasteful number, since it uses less digits than its factorization.

201630420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201630420 is about 14199.6626720496. The cubic root of 201630420 is about 586.3883745238.

Adding to 201630420 its reverse (24036102), we get a palindrome (225666522).

The spelling of 201630420 in words is "two hundred one million, six hundred thirty thousand, four hundred twenty".