456943720 has 128 divisors (see below), whose sum is σ = 1117670400. Its totient is φ = 167731200.

The previous prime is 456943709. The next prime is 456943723. The reversal of 456943720 is 27349654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (456943723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488055 + ... + 3488185.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2^456943720 is an apocalyptic number.

456943720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456943720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

456943720 is an abundant number, since it is smaller than the sum of its proper divisors (660726680).

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

456943720 is a wasteful number, since it uses less digits than its factorization.

456943720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 456943720 is about 21376.2419522235. The cubic root of 456943720 is about 770.2308410038.

The spelling of 456943720 in words is "four hundred fifty-six million, nine hundred forty-three thousand, seven hundred twenty".