42803200 has 168 divisors, whose sum is σ = 121889520. Its totient is φ = 14745600.

The previous prime is 42803177. The next prime is 42803209. The reversal of 42803200 is 230824.

It is a happy number.

It is a super-2 number, since 2×42803200² = 3664227860480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (42803209) 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, 2252791 + ... + 2252809.

Almost surely, 2^42803200 is an apocalyptic number.

42803200 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 42803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60944760).

42803200 is an abundant number, since it is smaller than the sum of its proper divisors (79086320).

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

42803200 is a wasteful number, since it uses less digits than its factorization.

42803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 42803200 is about 6542.4154560835. The cubic root of 42803200 is about 349.8045166886.

The spelling of 42803200 in words is "forty-two million, eight hundred three thousand, two hundred".