428630400 has 576 divisors, whose sum is σ = 1766293200. Its totient is φ = 101376000.

The previous prime is 428630399. The next prime is 428630413. The reversal of 428630400 is 4036824.

428630400 is a `hidden beast` number, since 4 + 28 + 630 + 4 + 0 + 0 = 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 (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10454380 + ... + 10454420.

Almost surely, 2^428630400 is an apocalyptic number.

428630400 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 428630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883146600).

428630400 is an abundant number, since it is smaller than the sum of its proper divisors (1337662800).

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

428630400 is a wasteful number, since it uses less digits than its factorization.

428630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 428630400 is about 20703.3910265927. The cubic root of 428630400 is about 753.9820205991.

The spelling of 428630400 in words is "four hundred twenty-eight million, six hundred thirty thousand, four hundred".