456538650 has 72 divisors (see below), whose sum is σ = 1195084224. Its totient is φ = 115322400.

The previous prime is 456538633. The next prime is 456538657. The reversal of 456538650 is 56835654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (456538657) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49935 + ... + 58365.

It is an arithmetic number, because the mean of its divisors is an integer number (16598392).

Almost surely, 2^456538650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456538650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597542112).

456538650 is an abundant number, since it is smaller than the sum of its proper divisors (738545574).

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

456538650 is a wasteful number, since it uses less digits than its factorization.

456538650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 456538650 is about 21366.7650803766. The cubic root of 456538650 is about 770.0031764641.

The spelling of 456538650 in words is "four hundred fifty-six million, five hundred thirty-eight thousand, six hundred fifty".