275964480 has 336 divisors, whose sum is σ = 1072700928. Its totient is φ = 64512000.

The previous prime is 275964473. The next prime is 275964487. The reversal of 275964480 is 84469572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (275964473) and next prime (275964487).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275964487) 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, 981940 + ... + 982220.

Almost surely, 2^275964480 is an apocalyptic number.

275964480 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 275964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536350464).

275964480 is an abundant number, since it is smaller than the sum of its proper divisors (796736448).

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

275964480 is a wasteful number, since it uses less digits than its factorization.

275964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 275964480 is about 16612.1786650638. The cubic root of 275964480 is about 651.0550754370.

The spelling of 275964480 in words is "two hundred seventy-five million, nine hundred sixty-four thousand, four hundred eighty".