246479040 has 252 divisors, whose sum is σ = 899385552. Its totient is φ = 61839360.

The previous prime is 246478993. The next prime is 246479069. The reversal of 246479040 is 40974642.

246479040 is a `hidden beast` number, since 2 + 4 + 647 + 9 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 246478986 and 246479004.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4040610 + ... + 4040670.

Almost surely, 2^246479040 is an apocalyptic number.

246479040 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 246479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449692776).

246479040 is an abundant number, since it is smaller than the sum of its proper divisors (652906512).

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

246479040 is a wasteful number, since it uses less digits than its factorization.

246479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 246479040 is about 15699.6509515339. The cubic root of 246479040 is about 626.9891102555.

The spelling of 246479040 in words is "two hundred forty-six million, four hundred seventy-nine thousand, forty".