428394000 has 80 divisors (see below), whose sum is σ = 1381161600. Its totient is φ = 114236800.

The previous prime is 428393989. The next prime is 428394017. The reversal of 428394000 is 493824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29700 + ... + 41699.

It is an arithmetic number, because the mean of its divisors is an integer number (17264520).

Almost surely, 2^428394000 is an apocalyptic number.

428394000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428394000 is an abundant number, since it is smaller than the sum of its proper divisors (952767600).

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

428394000 is a wasteful number, since it uses less digits than its factorization.

428394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71425 (or 71409 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 428394000 is about 20697.6810295260. The cubic root of 428394000 is about 753.8433820208.

The spelling of 428394000 in words is "four hundred twenty-eight million, three hundred ninety-four thousand".