456340780 has 48 divisors (see below), whose sum is σ = 1100957760. Its totient is φ = 155639808.

The previous prime is 456340777. The next prime is 456340789. The reversal of 456340780 is 87043654.

It is not an unprimeable number, because it can be changed into a prime (456340789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18576 + ... + 35464.

It is an arithmetic number, because the mean of its divisors is an integer number (22936620).

Almost surely, 2^456340780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456340780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550478880).

456340780 is an abundant number, since it is smaller than the sum of its proper divisors (644616980).

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

456340780 is a wasteful number, since it uses less digits than its factorization.

456340780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17098 (or 17096 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 456340780 is about 21362.1342566701. The cubic root of 456340780 is about 769.8919171395.

The spelling of 456340780 in words is "four hundred fifty-six million, three hundred forty thousand, seven hundred eighty".