245366784 has 132 divisors (see below), whose sum is σ = 763363146. Its totient is φ = 75497472.

The previous prime is 245366777. The next prime is 245366791. The reversal of 245366784 is 487663542.

It is an interprime number because it is at equal distance from previous prime (245366777) and next prime (245366791).

It can be written as a sum of positive squares in only one way, i.e., 235929600 + 9437184 = 15360^2 + 3072^2 .

Its product of digits (967680) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 4 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18874362 + ... + 18874374.

Almost surely, 2^245366784 is an apocalyptic number.

245366784 is a gapful number since it is divisible by the number (24) 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 245366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381681573).

245366784 is an abundant number, since it is smaller than the sum of its proper divisors (517996362).

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

245366784 is an frugal number, since it uses more digits than its factorization.

245366784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 245366784 is about 15664.1879457570. The cubic root of 245366784 is about 626.0445755531.

The spelling of 245366784 in words is "two hundred forty-five million, three hundred sixty-six thousand, seven hundred eighty-four".