246428000 has 192 divisors, whose sum is σ = 746299008. Its totient is φ = 77875200.

The previous prime is 246427931. The next prime is 246428041. The reversal of 246428000 is 824642.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363662 + ... + 364338.

It is an arithmetic number, because the mean of its divisors is an integer number (3886974).

Almost surely, 2^246428000 is an apocalyptic number.

246428000 is a gapful number since it is divisible by the number (20) 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 246428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373149504).

246428000 is an abundant number, since it is smaller than the sum of its proper divisors (499871008).

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

246428000 is a wasteful number, since it uses less digits than its factorization.

246428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 246428000 is about 15698.0253535277. The cubic root of 246428000 is about 626.9458290454.

The spelling of 246428000 in words is "two hundred forty-six million, four hundred twenty-eight thousand".