249450477120 has 1120 divisors, whose sum is σ = 1028531750400. Its totient is φ = 56865079296.

The previous prime is 249450477047. The next prime is 249450477121. The reversal of 249450477120 is 21774054942.

249450477120 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 50 + 477 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (249450477121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 300904866 + ... + 300905694.

It is an arithmetic number, because the mean of its divisors is an integer number (918331920).

Almost surely, 2^249450477120 is an apocalyptic number.

249450477120 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 249450477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514265875200).

249450477120 is an abundant number, since it is smaller than the sum of its proper divisors (779081273280).

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

249450477120 is a wasteful number, since it uses less digits than its factorization.

249450477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 249450477120 in words is "two hundred forty-nine billion, four hundred fifty million, four hundred seventy-seven thousand, one hundred twenty".