456938748 has 72 divisors (see below), whose sum is σ = 1322062560. Its totient is φ = 130354560.

The previous prime is 456938737. The next prime is 456938749. The reversal of 456938748 is 847839654.

456938748 is a `hidden beast` number, since 4 + 569 + 3 + 8 + 74 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456938694 and 456938703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456938749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266518 + ... + 268226.

It is an arithmetic number, because the mean of its divisors is an integer number (18361980).

Almost surely, 2^456938748 is an apocalyptic number.

It is an amenable number.

456938748 is an abundant number, since it is smaller than the sum of its proper divisors (865123812).

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

456938748 is a wasteful number, since it uses less digits than its factorization.

456938748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2782 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 456938748 is about 21376.1256545708. The cubic root of 456938748 is about 770.2280473690.

The spelling of 456938748 in words is "four hundred fifty-six million, nine hundred thirty-eight thousand, seven hundred forty-eight".