1461407233 has 16 divisors (see below), whose sum is σ = 1719345600. Its totient is φ = 1224607680.

The previous prime is 1461407231. The next prime is 1461407263. The reversal of 1461407233 is 3327041641.

It is a cyclic number.

It is not a de Polignac number, because 1461407233 - 2¹ = 1461407231 is a prime.

It is a super-2 number, since 2×1461407233² = 4271422201329432578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1461407195 and 1461407204.

It is not an unprimeable number, because it can be changed into a prime (1461407231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98763 + ... + 112591.

It is an arithmetic number, because the mean of its divisors is an integer number (107459100).

Almost surely, 2^1461407233 is an apocalyptic number.

1461407233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1461407233 is a deficient number, since it is larger than the sum of its proper divisors (257938367).

1461407233 is a wasteful number, since it uses less digits than its factorization.

1461407233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14592.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1461407233 is about 38228.3563994059. The cubic root of 1461407233 is about 1134.8115590820.

Adding to 1461407233 its reverse (3327041641), we get a palindrome (4788448874).

The spelling of 1461407233 in words is "one billion, four hundred sixty-one million, four hundred seven thousand, two hundred thirty-three".