428456000 has 168 divisors, whose sum is σ = 1235436696. Its totient is φ = 146764800.

The previous prime is 428455957. The next prime is 428456003. The reversal of 428456000 is 654824.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 422384704 = 2464^2 + 20552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428456003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 391454 + ... + 392546.

Almost surely, 2^428456000 is an apocalyptic number.

428456000 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 428456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617718348).

428456000 is an abundant number, since it is smaller than the sum of its proper divisors (806980696).

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

428456000 is a wasteful number, since it uses less digits than its factorization.

428456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 428456000 is about 20699.1787276694. The cubic root of 428456000 is about 753.8797473256.

The spelling of 428456000 in words is "four hundred twenty-eight million, four hundred fifty-six thousand".