428846400 has 252 divisors, whose sum is σ = 1582107072. Its totient is φ = 114255360.

The previous prime is 428846387. The next prime is 428846401. The reversal of 428846400 is 4648824.

428846400 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 4 + 640 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428846401) 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, 388249 + ... + 389351.

Almost surely, 2^428846400 is an apocalyptic number.

428846400 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 428846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791053536).

428846400 is an abundant number, since it is smaller than the sum of its proper divisors (1153260672).

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

428846400 is a wasteful number, since it uses less digits than its factorization.

428846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 428846400 is about 20708.6069063083. The cubic root of 428846400 is about 754.1086508828.

It can be divided in two parts, 42884 and 6400, that added together give a square (49284 = 222²).

The spelling of 428846400 in words is "four hundred twenty-eight million, eight hundred forty-six thousand, four hundred".