456238780 has 48 divisors (see below), whose sum is σ = 994775040. Its totient is φ = 175579200.

The previous prime is 456238771. The next prime is 456238813. The reversal of 456238780 is 87832654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108925 + ... + 113035.

It is an arithmetic number, because the mean of its divisors is an integer number (20724480).

Almost surely, 2^456238780 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 456238780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497387520).

456238780 is an abundant number, since it is smaller than the sum of its proper divisors (538536260).

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

456238780 is a wasteful number, since it uses less digits than its factorization.

456238780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 456238780 is about 21359.7467213448. The cubic root of 456238780 is about 769.8345515109.

The spelling of 456238780 in words is "four hundred fifty-six million, two hundred thirty-eight thousand, seven hundred eighty".