1461406020 has 96 divisors (see below), whose sum is σ = 4449852288. Its totient is φ = 356861952.

The previous prime is 1461406013. The next prime is 1461406021. The reversal of 1461406020 is 206041641.

It is not an unprimeable number, because it can be changed into a prime (1461406021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18379 + ... + 57101.

It is an arithmetic number, because the mean of its divisors is an integer number (46352628).

Almost surely, 2^1461406020 is an apocalyptic number.

1461406020 is a gapful number since it is divisible by the number (10) 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 1461406020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224926144).

1461406020 is an abundant number, since it is smaller than the sum of its proper divisors (2988446268).

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

1461406020 is a wasteful number, since it uses less digits than its factorization.

1461406020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38789 (or 38787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1461406020 is about 38228.3405342162. The cubic root of 1461406020 is about 1134.8112451091.

Adding to 1461406020 its reverse (206041641), we get a palindrome (1667447661).

The spelling of 1461406020 in words is "one billion, four hundred sixty-one million, four hundred six thousand, twenty".