456623240 has 32 divisors (see below), whose sum is σ = 1028160000. Its totient is φ = 182514624.

The previous prime is 456623227. The next prime is 456623269. The reversal of 456623240 is 42326654.

It is a super-3 number, since 3×456623240³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456623197 and 456623206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64601 + ... + 71319.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 2^456623240 is an apocalyptic number.

456623240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456623240 is an abundant number, since it is smaller than the sum of its proper divisors (571536760).

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

456623240 is a wasteful number, since it uses less digits than its factorization.

456623240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 456623240 is about 21368.7444647551. The cubic root of 456623240 is about 770.0507303395.

Adding to 456623240 its reverse (42326654), we get a palindrome (498949894).

The spelling of 456623240 in words is "four hundred fifty-six million, six hundred twenty-three thousand, two hundred forty".