275406480 has 240 divisors, whose sum is σ = 992269824. Its totient is φ = 70917120.

The previous prime is 275406473. The next prime is 275406493. The reversal of 275406480 is 84604572.

275406480 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 0 + 648 + 0 = 666.

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

It is a super-3 number, since 3×275406480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602412 + ... + 602868.

Almost surely, 2^275406480 is an apocalyptic number.

275406480 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 275406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496134912).

275406480 is an abundant number, since it is smaller than the sum of its proper divisors (716863344).

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

275406480 is a wasteful number, since it uses less digits than its factorization.

275406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 275406480 is about 16595.3752593908. The cubic root of 275406480 is about 650.6159683654.

The spelling of 275406480 in words is "two hundred seventy-five million, four hundred six thousand, four hundred eighty".