428475600 has 360 divisors, whose sum is σ = 1739025600. Its totient is φ = 97655040.

The previous prime is 428475581. The next prime is 428475601. The reversal of 428475600 is 6574824.

428475600 is a `hidden beast` number, since 4 + 2 + 8 + 47 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428475601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234627 + ... + 1234973.

Almost surely, 2^428475600 is an apocalyptic number.

428475600 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 428475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869512800).

428475600 is an abundant number, since it is smaller than the sum of its proper divisors (1310550000).

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

428475600 is a wasteful number, since it uses less digits than its factorization.

428475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 364 counting only the distinct ones).

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

The square root of 428475600 is about 20699.6521709907. The cubic root of 428475600 is about 753.8912427243.

The spelling of 428475600 in words is "four hundred twenty-eight million, four hundred seventy-five thousand, six hundred".