461001420 has 288 divisors, whose sum is σ = 1630347264. Its totient is φ = 104332800.

The previous prime is 461001407. The next prime is 461001421. The reversal of 461001420 is 24100164.

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 = 461001393 and 461001402.

It is not an unprimeable number, because it can be changed into a prime (461001421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2413525 + ... + 2413715.

It is an arithmetic number, because the mean of its divisors is an integer number (5660928).

Almost surely, 2^461001420 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 461001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815173632).

461001420 is an abundant number, since it is smaller than the sum of its proper divisors (1169345844).

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

461001420 is a wasteful number, since it uses less digits than its factorization.

461001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 461001420 is about 21470.9436215552. The cubic root of 461001420 is about 772.5040311475.

Adding to 461001420 its reverse (24100164), we get a palindrome (485101584).

The spelling of 461001420 in words is "four hundred sixty-one million, one thousand, four hundred twenty".