456762042 has 48 divisors (see below), whose sum is σ = 1093322880. Its totient is φ = 136656000.

The previous prime is 456762041. The next prime is 456762043. The reversal of 456762042 is 240267654.

It is an interprime number because it is at equal distance from previous prime (456762041) and next prime (456762043).

It is a junction number, because it is equal to n+sod(n) for n = 456761988 and 456762006.

It is not an unprimeable number, because it can be changed into a prime (456762041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042 + ... + 30242.

It is an arithmetic number, because the mean of its divisors is an integer number (22777560).

Almost surely, 2^456762042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456762042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546661440).

456762042 is an abundant number, since it is smaller than the sum of its proper divisors (636560838).

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

456762042 is a wasteful number, since it uses less digits than its factorization.

456762042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29299 (or 29296 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 456762042 is about 21371.9919988755. The cubic root of 456762042 is about 770.1287477974.

The spelling of 456762042 in words is "four hundred fifty-six million, seven hundred sixty-two thousand, forty-two".