461640040 has 16 divisors (see below), whose sum is σ = 1038690180. Its totient is φ = 184656000.

The previous prime is 461640031. The next prime is 461640059. The reversal of 461640040 is 40046164.

It can be written as a sum of positive squares in 2 ways, for example, as 444450724 + 17189316 = 21082^2 + 4146^2 .

It is a super-2 number, since 2×461640040² = 426223053062403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461639987 and 461640014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5770461 + ... + 5770540.

Almost surely, 2^461640040 is an apocalyptic number.

461640040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461640040 is an abundant number, since it is smaller than the sum of its proper divisors (577050140).

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

461640040 is a wasteful number, since it uses less digits than its factorization.

461640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541012 (or 11541008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 461640040 is about 21485.8102011537. The cubic root of 461640040 is about 772.8605802264.

The spelling of 461640040 in words is "four hundred sixty-one million, six hundred forty thousand, forty".