456768240 has 80 divisors (see below), whose sum is σ = 1499287968. Its totient is φ = 114638848.

The previous prime is 456768239. The next prime is 456768251. The reversal of 456768240 is 42867654.

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

It is a junction number, because it is equal to n+sod(n) for n = 456768192 and 456768201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51897 + ... + 60056.

Almost surely, 2^456768240 is an apocalyptic number.

456768240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456768240 is an abundant number, since it is smaller than the sum of its proper divisors (1042519728).

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

456768240 is a wasteful number, since it uses less digits than its factorization.

456768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111986 (or 111980 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 456768240 is about 21372.1370012453. The cubic root of 456768240 is about 770.1322311841.

The spelling of 456768240 in words is "four hundred fifty-six million, seven hundred sixty-eight thousand, two hundred forty".