245677140 has 72 divisors (see below), whose sum is σ = 747452160. Its totient is φ = 65317824.

The previous prime is 245677129. The next prime is 245677153. The reversal of 245677140 is 41776542.

245677140 is a `hidden beast` number, since 24 + 567 + 71 + 4 + 0 = 666.

245677140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 245677095 and 245677104.

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, 64201 + ... + 67919.

It is an arithmetic number, because the mean of its divisors is an integer number (10381280).

Almost surely, 2^245677140 is an apocalyptic number.

245677140 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 245677140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373726080).

245677140 is an abundant number, since it is smaller than the sum of its proper divisors (501775020).

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

245677140 is a wasteful number, since it uses less digits than its factorization.

245677140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 245677140 is about 15674.0913612241. The cubic root of 245677140 is about 626.3084184212.

The spelling of 245677140 in words is "two hundred forty-five million, six hundred seventy-seven thousand, one hundred forty".