428457600 has 576 divisors, whose sum is σ = 1726452000. Its totient is φ = 104509440.

The previous prime is 428457583. The next prime is 428457641. The reversal of 428457600 is 6754824.

428457600 is a `hidden beast` number, since 4 + 2 + 8 + 45 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14774386 + ... + 14774414.

Almost surely, 2^428457600 is an apocalyptic number.

428457600 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 428457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863226000).

428457600 is an abundant number, since it is smaller than the sum of its proper divisors (1297994400).

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

428457600 is a wasteful number, since it uses less digits than its factorization.

428457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 428457600 is about 20699.2173765097. The cubic root of 428457600 is about 753.8806857386.

The spelling of 428457600 in words is "four hundred twenty-eight million, four hundred fifty-seven thousand, six hundred".