245131920 has 400 divisors, whose sum is σ = 983062080. Its totient is φ = 55987200.

The previous prime is 245131879. The next prime is 245131927. The reversal of 245131920 is 29131542.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245131927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354230 + ... + 1354410.

Almost surely, 2^245131920 is an apocalyptic number.

245131920 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 245131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491531040).

245131920 is an abundant number, since it is smaller than the sum of its proper divisors (737930160).

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

245131920 is a wasteful number, since it uses less digits than its factorization.

245131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 245131920 is about 15656.6893052139. The cubic root of 245131920 is about 625.8447627537.

It can be divided in two parts, 245131 and 920, that added together give a triangular number (246051 = T₇₀₁).

The spelling of 245131920 in words is "two hundred forty-five million, one hundred thirty-one thousand, nine hundred twenty".