456229788 has 96 divisors (see below), whose sum is σ = 1249920000. Its totient is φ = 129463488.

The previous prime is 456229757. The next prime is 456229789. The reversal of 456229788 is 887922654.

Its product of digits (1935360) is a multiple of the sum of its prime divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 456229788.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456229789) 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, 818806 + ... + 819362.

It is an arithmetic number, because the mean of its divisors is an integer number (13020000).

Almost surely, 2^456229788 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 456229788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960000).

456229788 is an abundant number, since it is smaller than the sum of its proper divisors (793690212).

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

456229788 is a wasteful number, since it uses less digits than its factorization.

456229788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 456229788 is about 21359.5362309204. The cubic root of 456229788 is about 769.8294939270.

The spelling of 456229788 in words is "four hundred fifty-six million, two hundred twenty-nine thousand, seven hundred eighty-eight".