456968200 has 48 divisors (see below), whose sum is σ = 1144184580. Its totient is φ = 168725760.

The previous prime is 456968191. The next prime is 456968201. The reversal of 456968200 is 2869654.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 238578916 + 218389284 = 15446^2 + 14778^2 .

It is a super-3 number, since 3×456968200³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (456968201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85279 + ... + 90478.

Almost surely, 2^456968200 is an apocalyptic number.

456968200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456968200 is an abundant number, since it is smaller than the sum of its proper divisors (687216380).

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

456968200 is a wasteful number, since it uses less digits than its factorization.

456968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175786 (or 175777 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 456968200 is about 21376.8145428640. The cubic root of 456968200 is about 770.2445953703.

It can be divided in two parts, 456968 and 200, that multiplied together give a square (91393600 = 9560²).

The spelling of 456968200 in words is "four hundred fifty-six million, nine hundred sixty-eight thousand, two hundred".