42912800 has 144 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 14376960.

The previous prime is 42912791. The next prime is 42912809. The reversal of 42912800 is 821924.

It is an interprime number because it is at equal distance from previous prime (42912791) and next prime (42912809).

It is a self number, because there is not a number n which added to its sum of digits gives 42912800.

It is not an unprimeable number, because it can be changed into a prime (42912809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442352 + ... + 442448.

It is an arithmetic number, because the mean of its divisors is an integer number (850640).

Almost surely, 2^42912800 is an apocalyptic number.

42912800 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 42912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

42912800 is an abundant number, since it is smaller than the sum of its proper divisors (79579360).

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

42912800 is a wasteful number, since it uses less digits than its factorization.

42912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 42912800 is about 6550.7862123565. The cubic root of 42912800 is about 350.1028269302.

The spelling of 42912800 in words is "forty-two million, nine hundred twelve thousand, eight hundred".