426728400 has 240 divisors, whose sum is σ = 1605623424. Its totient is φ = 94832640.

The previous prime is 426728399. The next prime is 426728413. The reversal of 426728400 is 4827624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310114 + ... + 311486.

Almost surely, 2^426728400 is an apocalyptic number.

426728400 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 426728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802811712).

426728400 is an abundant number, since it is smaller than the sum of its proper divisors (1178895024).

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

426728400 is a wasteful number, since it uses less digits than its factorization.

426728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 426728400 is about 20657.4054517986. The cubic root of 426728400 is about 752.8651296606.

The spelling of 426728400 in words is "four hundred twenty-six million, seven hundred twenty-eight thousand, four hundred".