42990800 has 60 divisors (see below), whose sum is σ = 106647936. Its totient is φ = 16636800.

The previous prime is 42990797. The next prime is 42990803. The reversal of 42990800 is 809924.

It is an interprime number because it is at equal distance from previous prime (42990797) and next prime (42990803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42990803) 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, 10667 + ... + 14133.

Almost surely, 2^42990800 is an apocalyptic number.

42990800 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 42990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53323968).

42990800 is an abundant number, since it is smaller than the sum of its proper divisors (63657136).

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

42990800 is a wasteful number, since it uses less digits than its factorization.

42990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 42990800 is about 6556.7369933527. The cubic root of 42990800 is about 350.3148187820.

The spelling of 42990800 in words is "forty-two million, nine hundred ninety thousand, eight hundred".