42800576 has 56 divisors (see below), whose sum is σ = 104546400. Its totient is φ = 16929792.

The previous prime is 42800573. The next prime is 42800579. The reversal of 42800576 is 67500824.

It is an interprime number because it is at equal distance from previous prime (42800573) and next prime (42800579).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42800573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2150 + ... + 9498.

It is an arithmetic number, because the mean of its divisors is an integer number (1866900).

Almost surely, 2^42800576 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 42800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52273200).

42800576 is an abundant number, since it is smaller than the sum of its proper divisors (61745824).

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

42800576 is a wasteful number, since it uses less digits than its factorization.

42800576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 42800576 is about 6542.2149154549. The cubic root of 42800576 is about 349.7973684239.

The spelling of 42800576 in words is "forty-two million, eight hundred thousand, five hundred seventy-six".