246228480 has 120 divisors (see below), whose sum is σ = 852838272. Its totient is φ = 65654784.

The previous prime is 246228461. The next prime is 246228503. The reversal of 246228480 is 84822642.

It is a happy number.

246228480 is a `hidden beast` number, since 24 + 622 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×246228480² = 121256928726220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 17697 + ... + 28383.

Almost surely, 2^246228480 is an apocalyptic number.

246228480 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 246228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426419136).

246228480 is an abundant number, since it is smaller than the sum of its proper divisors (606609792).

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

246228480 is a wasteful number, since it uses less digits than its factorization.

246228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 246228480 is about 15691.6691272790. The cubic root of 246228480 is about 626.7765814949.

The spelling of 246228480 in words is "two hundred forty-six million, two hundred twenty-eight thousand, four hundred eighty".