456542440 has 32 divisors (see below), whose sum is σ = 1029600000. Its totient is φ = 182193984.

The previous prime is 456542399. The next prime is 456542441. The reversal of 456542440 is 44245654.

It is a junction number, because it is equal to n+sod(n) for n = 456542396 and 456542405.

It is not an unprimeable number, because it can be changed into a prime (456542441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4561 + ... + 30559.

It is an arithmetic number, because the mean of its divisors is an integer number (32175000).

Almost surely, 2^456542440 is an apocalyptic number.

456542440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456542440 is an abundant number, since it is smaller than the sum of its proper divisors (573057560).

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

456542440 is a wasteful number, since it uses less digits than its factorization.

456542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26449 (or 26445 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 456542440 is about 21366.8537693316. The cubic root of 456542440 is about 770.0053072103.

The spelling of 456542440 in words is "four hundred fifty-six million, five hundred forty-two thousand, four hundred forty".