42998400 has 144 divisors (see below), whose sum is σ = 153530910. Its totient is φ = 11458560.

The previous prime is 42998383. The next prime is 42998419. The reversal of 42998400 is 489924.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38638656 + 4359744 = 6216^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28054 + ... + 29546.

Almost surely, 2^42998400 is an apocalyptic number.

42998400 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 42998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76765455).

42998400 is an abundant number, since it is smaller than the sum of its proper divisors (110532510).

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

42998400 is a wasteful number, since it uses less digits than its factorization.

42998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1503 counting only the distinct ones).

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

The square root of 42998400 is about 6557.3165243108. The cubic root of 42998400 is about 350.3354606849.

The spelling of 42998400 in words is "forty-two million, nine hundred ninety-eight thousand, four hundred".