246385440 has 144 divisors (see below), whose sum is σ = 960942528. Its totient is φ = 56314368.

The previous prime is 246385429. The next prime is 246385457. The reversal of 246385440 is 44583642.

246385440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 246385395 and 246385404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (6673212).

Almost surely, 2^246385440 is an apocalyptic number.

246385440 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 246385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480471264).

246385440 is an abundant number, since it is smaller than the sum of its proper divisors (714557088).

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

246385440 is a wasteful number, since it uses less digits than its factorization.

246385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24471 (or 24460 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 246385440 is about 15696.6697104832. The cubic root of 246385440 is about 626.9097341878.

The spelling of 246385440 in words is "two hundred forty-six million, three hundred eighty-five thousand, four hundred forty".