424359900 has 216 divisors, whose sum is σ = 1401472800. Its totient is φ = 107251200.

The previous prime is 424359893. The next prime is 424359937. The reversal of 424359900 is 9953424.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1852986 + ... + 1853214.

It is an arithmetic number, because the mean of its divisors is an integer number (6488300).

Almost surely, 2^424359900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424359900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700736400).

424359900 is an abundant number, since it is smaller than the sum of its proper divisors (977112900).

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

424359900 is a wasteful number, since it uses less digits than its factorization.

424359900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 424359900 is about 20599.9975728154. The cubic root of 424359900 is about 751.4696516178.

The spelling of 424359900 in words is "four hundred twenty-four million, three hundred fifty-nine thousand, nine hundred".