245776328460 has 768 divisors, whose sum is σ = 876867747840. Its totient is φ = 57442867200.

The previous prime is 245776328443. The next prime is 245776328471. The reversal of 245776328460 is 64823677542.

245776328460 is a `hidden beast` number, since 2 + 4 + 577 + 6 + 3 + 2 + 8 + 4 + 60 = 666.

It is a super-3 number, since 3×245776328460³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 245776328397 and 245776328406.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1286786965 + ... + 1286787155.

It is an arithmetic number, because the mean of its divisors is an integer number (1141754880).

Almost surely, 2^245776328460 is an apocalyptic number.

245776328460 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 245776328460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438433873920).

245776328460 is an abundant number, since it is smaller than the sum of its proper divisors (631091419380).

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

245776328460 is a wasteful number, since it uses less digits than its factorization.

245776328460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 245776328460 in words is "two hundred forty-five billion, seven hundred seventy-six million, three hundred twenty-eight thousand, four hundred sixty".