246413664 has 192 divisors, whose sum is σ = 833172480. Its totient is φ = 70263936.

The previous prime is 246413653. The next prime is 246413669. The reversal of 246413664 is 466314642.

246413664 is a `hidden beast` number, since 2 + 4 + 641 + 3 + 6 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246413669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 489637 + ... + 490139.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2^246413664 is an apocalyptic number.

246413664 is a gapful number since it is divisible by the number (24) 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 246413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416586240).

246413664 is an abundant number, since it is smaller than the sum of its proper divisors (586758816).

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

246413664 is an frugal number, since it uses more digits than its factorization.

246413664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 515 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 246413664 is about 15697.5687289465. The cubic root of 246413664 is about 626.9336712418.

The spelling of 246413664 in words is "two hundred forty-six million, four hundred thirteen thousand, six hundred sixty-four".