428790400 has 96 divisors (see below), whose sum is σ = 1082162880. Its totient is φ = 167808000.

The previous prime is 428790359. The next prime is 428790437. The reversal of 428790400 is 4097824.

It is a happy number.

It is a super-2 number, since 2×428790400² = 367722414264320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 148975 + ... + 151825.

It is an arithmetic number, because the mean of its divisors is an integer number (11272530).

Almost surely, 2^428790400 is an apocalyptic number.

428790400 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 428790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541081440).

428790400 is an abundant number, since it is smaller than the sum of its proper divisors (653372480).

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

428790400 is a wasteful number, since it uses less digits than its factorization.

428790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 428790400 is about 20707.2547673515. The cubic root of 428790400 is about 754.0758248929.

The spelling of 428790400 in words is "four hundred twenty-eight million, seven hundred ninety thousand, four hundred".