245917440 has 108 divisors (see below), whose sum is σ = 850888584. Its totient is φ = 65574912.

The previous prime is 245917439. The next prime is 245917447. The reversal of 245917440 is 44719542.

It is a happy number.

245917440 is a `hidden beast` number, since 24 + 591 + 7 + 4 + 40 = 666.

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 = 245917395 and 245917404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245917447) 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 11 ways as a sum of consecutive naturals, for example, 847 + ... + 22193.

It is an arithmetic number, because the mean of its divisors is an integer number (7878598).

Almost surely, 2^245917440 is an apocalyptic number.

245917440 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 245917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425444292).

245917440 is an abundant number, since it is smaller than the sum of its proper divisors (604971144).

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

245917440 is a wasteful number, since it uses less digits than its factorization.

245917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 245917440 is about 15681.7550038253. The cubic root of 245917440 is about 626.5125520120.

The spelling of 245917440 in words is "two hundred forty-five million, nine hundred seventeen thousand, four hundred forty".