456920200 has 144 divisors (see below), whose sum is σ = 1187424000. Its totient is φ = 163363200.

The previous prime is 456920173. The next prime is 456920209. The reversal of 456920200 is 2029654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456920209) 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, 1911681 + ... + 1911919.

It is an arithmetic number, because the mean of its divisors is an integer number (8246000).

Almost surely, 2^456920200 is an apocalyptic number.

456920200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

456920200 is an abundant number, since it is smaller than the sum of its proper divisors (730503800).

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

456920200 is a wasteful number, since it uses less digits than its factorization.

456920200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 456920200 is about 21375.6918016704. The cubic root of 456920200 is about 770.2176255614.

Adding to 456920200 its reverse (2029654), we get a palindrome (458949854).

The spelling of 456920200 in words is "four hundred fifty-six million, nine hundred twenty thousand, two hundred".