245833920 has 224 divisors, whose sum is σ = 891844800. Its totient is φ = 63700992.

The previous prime is 245833919. The next prime is 245833927. The reversal of 245833920 is 29338542.

245833920 = 136² + 137² + ... + 904².

245833920 is a `hidden beast` number, since 24 + 583 + 39 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (245833927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 319296 + ... + 320064.

It is an arithmetic number, because the mean of its divisors is an integer number (3981450).

Almost surely, 2^245833920 is an apocalyptic number.

245833920 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 245833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445922400).

245833920 is an abundant number, since it is smaller than the sum of its proper divisors (646010880).

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

245833920 is a wasteful number, since it uses less digits than its factorization.

245833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 245833920 is about 15679.0918104334. The cubic root of 245833920 is about 626.4416172934.

It can be divided in two parts, 245833 and 920, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 245833920 in words is "two hundred forty-five million, eight hundred thirty-three thousand, nine hundred twenty".