456005040 has 80 divisors (see below), whose sum is σ = 1459239936. Its totient is φ = 117676800.

The previous prime is 456005029. The next prime is 456005063. The reversal of 456005040 is 40500654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 456005040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23206 + ... + 38085.

Almost surely, 2^456005040 is an apocalyptic number.

456005040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456005040 is an abundant number, since it is smaller than the sum of its proper divisors (1003234896).

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

456005040 is a wasteful number, since it uses less digits than its factorization.

456005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61338 (or 61332 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 456005040 is about 21354.2745135488. The cubic root of 456005040 is about 769.7030619826.

Adding to 456005040 its reverse (40500654), we get a palindrome (496505694).

The spelling of 456005040 in words is "four hundred fifty-six million, five thousand, forty".