424740000 has 120 divisors (see below), whose sum is σ = 1393428960. Its totient is φ = 113248000.

The previous prime is 424739989. The next prime is 424740007. The reversal of 424740000 is 47424.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (424740007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56461 + ... + 63539.

It is an arithmetic number, because the mean of its divisors is an integer number (11611908).

Almost surely, 2^424740000 is an apocalyptic number.

424740000 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 424740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696714480).

424740000 is an abundant number, since it is smaller than the sum of its proper divisors (968688960).

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

424740000 is an equidigital number, since it uses as much as digits as its factorization.

424740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 424740000 is about 20609.2212371065. The cubic root of 424740000 is about 751.6939489466.

Adding to 424740000 its reverse (47424), we get a palindrome (424787424).

The spelling of 424740000 in words is "four hundred twenty-four million, seven hundred forty thousand".