1461220401 has 8 divisors (see below), whose sum is σ = 1948746400. Its totient is φ = 973920672.

The previous prime is 1461220393. The next prime is 1461220463. The reversal of 1461220401 is 1040221641.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1461220401 - 2³ = 1461220393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1461220301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40876 + ... + 67773.

It is an arithmetic number, because the mean of its divisors is an integer number (243593300).

Almost surely, 2^1461220401 is an apocalyptic number.

It is an amenable number.

1461220401 is a deficient number, since it is larger than the sum of its proper divisors (487525999).

1461220401 is a wasteful number, since it uses less digits than its factorization.

1461220401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113135.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1461220401 is about 38225.9126902158. The cubic root of 1461220401 is about 1134.7631974426.

The spelling of 1461220401 in words is "one billion, four hundred sixty-one million, two hundred twenty thousand, four hundred one".