246972960 has 288 divisors, whose sum is σ = 924618240. Its totient is φ = 59664384.

The previous prime is 246972941. The next prime is 246972983. The reversal of 246972960 is 69279642.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478797 + ... + 1478963.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^246972960 is an apocalyptic number.

246972960 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 246972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

246972960 is an abundant number, since it is smaller than the sum of its proper divisors (677645280).

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

246972960 is a wasteful number, since it uses less digits than its factorization.

246972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 246972960 is about 15715.3733649570. The cubic root of 246972960 is about 627.4076391948.

The spelling of 246972960 in words is "two hundred forty-six million, nine hundred seventy-two thousand, nine hundred sixty".