42994800 has 150 divisors (see below), whose sum is σ = 154421168. Its totient is φ = 11456640.

The previous prime is 42994793. The next prime is 42994807. The reversal of 42994800 is 849924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42994793) and next prime (42994807).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42994807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31737 + ... + 33063.

Almost surely, 2^42994800 is an apocalyptic number.

42994800 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 42994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77210584).

42994800 is an abundant number, since it is smaller than the sum of its proper divisors (111426368).

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

42994800 is a wasteful number, since it uses less digits than its factorization.

42994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42994800 is about 6557.0420160313. The cubic root of 42994800 is about 350.3256832446.

The spelling of 42994800 in words is "forty-two million, nine hundred ninety-four thousand, eight hundred".