275463488400 has 240 divisors, whose sum is σ = 902278440960. Its totient is φ = 71820403200.

The previous prime is 275463488359. The next prime is 275463488401. The reversal of 275463488400 is 4884364572.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (275463488401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9750295 + ... + 9778505.

It is an arithmetic number, because the mean of its divisors is an integer number (3759493504).

Almost surely, 2^275463488400 is an apocalyptic number.

275463488400 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 275463488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451139220480).

275463488400 is an abundant number, since it is smaller than the sum of its proper divisors (626814952560).

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

275463488400 is a wasteful number, since it uses less digits than its factorization.

275463488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28414 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 275463488400 in words is "two hundred seventy-five billion, four hundred sixty-three million, four hundred eighty-eight thousand, four hundred".