245993760 has 384 divisors, whose sum is σ = 942278400. Its totient is φ = 60466176.

The previous prime is 245993743. The next prime is 245993789. The reversal of 245993760 is 67399542.

It is a happy number.

245993760 is a `hidden beast` number, since 24 + 599 + 37 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6648462 + ... + 6648498.

It is an arithmetic number, because the mean of its divisors is an integer number (2453850).

Almost surely, 2^245993760 is an apocalyptic number.

245993760 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 245993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471139200).

245993760 is an abundant number, since it is smaller than the sum of its proper divisors (696284640).

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

245993760 is an equidigital number, since it uses as much as digits as its factorization.

245993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 245993760 is about 15684.1882161622. The cubic root of 245993760 is about 626.5773576264.

It can be divided in two parts, 245993 and 760, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 245993760 in words is "two hundred forty-five million, nine hundred ninety-three thousand, seven hundred sixty".