1461193401 has 32 divisors (see below), whose sum is σ = 2156544000. Its totient is φ = 875946240.

The previous prime is 1461193369. The next prime is 1461193403. The reversal of 1461193401 is 1043911641.

It is not a de Polignac number, because 1461193401 - 2⁵ = 1461193369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1461193403) 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, 119050 + ... + 130748.

It is an arithmetic number, because the mean of its divisors is an integer number (67392000).

Almost surely, 2^1461193401 is an apocalyptic number.

It is an amenable number.

1461193401 is a deficient number, since it is larger than the sum of its proper divisors (695350599).

1461193401 is a wasteful number, since it uses less digits than its factorization.

1461193401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1461193401 is about 38225.5595250089. The cubic root of 1461193401 is about 1134.7562081262.

The spelling of 1461193401 in words is "one billion, four hundred sixty-one million, one hundred ninety-three thousand, four hundred one".