1461406000 has 80 divisors (see below), whose sum is σ = 3567227040. Its totient is φ = 579014400.

The previous prime is 1461405991. The next prime is 1461406013. The reversal of 1461406000 is 6041641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1461406000³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210586 + ... + 217414.

It is an arithmetic number, because the mean of its divisors is an integer number (44590338).

Almost surely, 2^1461406000 is an apocalyptic number.

1461406000 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 1461406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783613520).

1461406000 is an abundant number, since it is smaller than the sum of its proper divisors (2105821040).

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

1461406000 is a wasteful number, since it uses less digits than its factorization.

1461406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959 (or 6943 counting only the distinct ones).

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

The square root of 1461406000 is about 38228.3402726302. The cubic root of 1461406000 is about 1134.8112399323.

Adding to 1461406000 its reverse (6041641), we get a palindrome (1467447641).

The spelling of 1461406000 in words is "one billion, four hundred sixty-one million, four hundred six thousand".