456000040 has 32 divisors (see below), whose sum is σ = 1028016360. Its totient is φ = 182041600.

The previous prime is 456000023. The next prime is 456000043. The reversal of 456000040 is 40000654.

It can be written as a sum of positive squares in 4 ways, for example, as 165842884 + 290157156 = 12878^2 + 17034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 455999981 and 456000017.

It is not an unprimeable number, because it can be changed into a prime (456000043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9900 + ... + 31780.

Almost surely, 2^456000040 is an apocalyptic number.

456000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456000040 is an abundant number, since it is smaller than the sum of its proper divisors (572016320).

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

456000040 is a wasteful number, since it uses less digits than its factorization.

456000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22413 (or 22409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 456000040 is about 21354.1574406484. The cubic root of 456000040 is about 769.7002487612.

Adding to 456000040 its reverse (40000654), we get a palindrome (496000694).

The spelling of 456000040 in words is "four hundred fifty-six million, forty", and thus it is an aban number.