461377040 has 20 divisors (see below), whose sum is σ = 1072701804. Its totient is φ = 184550784.

The previous prime is 461377039. The next prime is 461377043. The reversal of 461377040 is 40773164.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 210598144 + 250778896 = 14512^2 + 15836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 461376988 and 461377006.

It is not an unprimeable number, because it can be changed into a prime (461377043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2883527 + ... + 2883686.

Almost surely, 2^461377040 is an apocalyptic number.

461377040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461377040 is an abundant number, since it is smaller than the sum of its proper divisors (611324764).

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

461377040 is a wasteful number, since it uses less digits than its factorization.

461377040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767226 (or 5767220 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 461377040 is about 21479.6890107841. The cubic root of 461377040 is about 772.7137840741.

The spelling of 461377040 in words is "four hundred sixty-one million, three hundred seventy-seven thousand, forty".