42948000 has 144 divisors (see below), whose sum is σ = 152550216. Its totient is φ = 11443200.

The previous prime is 42947987. The next prime is 42948029. The reversal of 42948000 is 84924.

It can be written as a sum of positive squares in 4 ways, for example, as 12873744 + 30074256 = 3588^2 + 5484^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35404 + ... + 36596.

Almost surely, 2^42948000 is an apocalyptic number.

42948000 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 42948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76275108).

42948000 is an abundant number, since it is smaller than the sum of its proper divisors (109602216).

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

42948000 is a wasteful number, since it uses less digits than its factorization.

42948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42948000 is about 6553.4723620383. The cubic root of 42948000 is about 350.1985268262.

The spelling of 42948000 in words is "forty-two million, nine hundred forty-eight thousand".