47242400 has 36 divisors (see below), whose sum is σ = 115332462. Its totient is φ = 18896640.

The previous prime is 47242397. The next prime is 47242411. The reversal of 47242400 is 424274.

It can be written as a sum of positive squares in 3 ways, for example, as 46185616 + 1056784 = 6796^2 + 1028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28727 + ... + 30326.

Almost surely, 2^47242400 is an apocalyptic number.

47242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47242400 is an abundant number, since it is smaller than the sum of its proper divisors (68090062).

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

47242400 is a wasteful number, since it uses less digits than its factorization.

47242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59073 (or 59060 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 47242400 is about 6873.3107015470. The cubic root of 47242400 is about 361.5019554322.

Adding to 47242400 its reverse (424274), we get a palindrome (47666674).

The spelling of 47242400 in words is "forty-seven million, two hundred forty-two thousand, four hundred".