1461540465 has 48 divisors (see below), whose sum is σ = 3158453376. Its totient is φ = 607392000.

The previous prime is 1461540361. The next prime is 1461540469. The reversal of 1461540465 is 5640451641.

1461540465 is a `hidden beast` number, since 1 + 46 + 154 + 0 + 465 = 666.

It is not a de Polignac number, because 1461540465 - 2⁹ = 1461539953 is a prime.

It is a super-2 number, since 2×1461540465² = 4272201061664832450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1461540469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207436 + ... + 214365.

It is an arithmetic number, because the mean of its divisors is an integer number (65801112).

Almost surely, 2^1461540465 is an apocalyptic number.

1461540465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1461540465 is an abundant number, since it is smaller than the sum of its proper divisors (1696912911).

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

1461540465 is a wasteful number, since it uses less digits than its factorization.

1461540465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421830 (or 421827 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1461540465 is about 38230.0989404945. The cubic root of 1461540465 is about 1134.8460437932.

The spelling of 1461540465 in words is "one billion, four hundred sixty-one million, five hundred forty thousand, four hundred sixty-five".