246993120 has 288 divisors, whose sum is σ = 951035904. Its totient is φ = 57830400.

The previous prime is 246993083. The next prime is 246993127. The reversal of 246993120 is 21399642.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×246993120² = 122011202654668800, 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 not an unprimeable number, because it can be changed into a prime (246993127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490789 + ... + 491291.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^246993120 is an apocalyptic number.

246993120 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 246993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

246993120 is an abundant number, since it is smaller than the sum of its proper divisors (704042784).

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

246993120 is a wasteful number, since it uses less digits than its factorization.

246993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 246993120 is about 15716.0147620190. The cubic root of 246993120 is about 627.4247101511.

The spelling of 246993120 in words is "two hundred forty-six million, nine hundred ninety-three thousand, one hundred twenty".