428429400 has 192 divisors, whose sum is σ = 1537401600. Its totient is φ = 96668160.

The previous prime is 428429341. The next prime is 428429471. The reversal of 428429400 is 4924824.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 347986 + ... + 349214.

It is an arithmetic number, because the mean of its divisors is an integer number (8007300).

Almost surely, 2^428429400 is an apocalyptic number.

428429400 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 428429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768700800).

428429400 is an abundant number, since it is smaller than the sum of its proper divisors (1108972200).

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

428429400 is a wasteful number, since it uses less digits than its factorization.

428429400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 428429400 is about 20698.5361801264. The cubic root of 428429400 is about 753.8641458665.

The spelling of 428429400 in words is "four hundred twenty-eight million, four hundred twenty-nine thousand, four hundred".