461607840 has 72 divisors (see below), whose sum is σ = 1575241668. Its totient is φ = 123095040.

The previous prime is 461607827. The next prime is 461607841. The reversal of 461607840 is 48706164.

461607840 is a `hidden beast` number, since 4 + 6 + 1 + 607 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 451647504 + 9960336 = 21252^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461607795 and 461607804.

It is not an unprimeable number, because it can be changed into a prime (461607841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158841 + ... + 161720.

Almost surely, 2^461607840 is an apocalyptic number.

461607840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461607840 is an abundant number, since it is smaller than the sum of its proper divisors (1113633828).

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

461607840 is a wasteful number, since it uses less digits than its factorization.

461607840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320582 (or 320571 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 461607840 is about 21485.0608563253. The cubic root of 461607840 is about 772.8426104612.

The spelling of 461607840 in words is "four hundred sixty-one million, six hundred seven thousand, eight hundred forty".