200073456 has 160 divisors (see below), whose sum is σ = 636387840. Its totient is φ = 59673600.

The previous prime is 200073451. The next prime is 200073479. The reversal of 200073456 is 654370002.

It is a happy number.

200073456 is a `hidden beast` number, since 200 + 0 + 7 + 3 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200073451) 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, 337096 + ... + 337688.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^200073456 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 200073456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920).

200073456 is an abundant number, since it is smaller than the sum of its proper divisors (436314384).

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

200073456 is a wasteful number, since it uses less digits than its factorization.

200073456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 200073456 is about 14144.7324470985. The cubic root of 200073456 is about 584.8751344281.

The spelling of 200073456 in words is "two hundred million, seventy-three thousand, four hundred fifty-six".