428966400 has 120 divisors (see below), whose sum is σ = 1417190544. Its totient is φ = 114380800.

The previous prime is 428966311. The next prime is 428966407. The reversal of 428966400 is 4669824.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (428966407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32815 + ... + 43985.

Almost surely, 2^428966400 is an apocalyptic number.

428966400 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 428966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708595272).

428966400 is an abundant number, since it is smaller than the sum of its proper divisors (988224144).

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

428966400 is a wasteful number, since it uses less digits than its factorization.

428966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11202 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 428966400 is about 20711.5040496821. The cubic root of 428966400 is about 754.1789826681.

The spelling of 428966400 in words is "four hundred twenty-eight million, nine hundred sixty-six thousand, four hundred".