424281600 has 360 divisors, whose sum is σ = 1583112960. Its totient is φ = 108380160.

The previous prime is 424281547. The next prime is 424281607. The reversal of 424281600 is 6182424.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424281607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340737 + ... + 3340863.

It is an arithmetic number, because the mean of its divisors is an integer number (4397536).

Almost surely, 2^424281600 is an apocalyptic number.

424281600 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 424281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791556480).

424281600 is an abundant number, since it is smaller than the sum of its proper divisors (1158831360).

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

424281600 is a wasteful number, since it uses less digits than its factorization.

424281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 424281600 is about 20598.0969994803. The cubic root of 424281600 is about 751.4234300866.

The spelling of 424281600 in words is "four hundred twenty-four million, two hundred eighty-one thousand, six hundred".