428546400 has 72 divisors (see below), whose sum is σ = 1394926344. Its totient is φ = 114278400.

The previous prime is 428546257. The next prime is 428546429. The reversal of 428546400 is 4645824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86881 + ... + 91680.

It is an arithmetic number, because the mean of its divisors is an integer number (19373977).

Almost surely, 2^428546400 is an apocalyptic number.

428546400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428546400 is an abundant number, since it is smaller than the sum of its proper divisors (966379944).

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

428546400 is a wasteful number, since it uses less digits than its factorization.

428546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178584 (or 178571 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 428546400 is about 20701.3622740147. The cubic root of 428546400 is about 753.9327639999.

The spelling of 428546400 in words is "four hundred twenty-eight million, five hundred forty-six thousand, four hundred".