278132480 has 72 divisors (see below), whose sum is σ = 670203072. Its totient is φ = 110587904.

The previous prime is 278132473. The next prime is 278132497. The reversal of 278132480 is 84231872.

It is a super-3 number, since 3×278132480³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 278132480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251609 + ... + 252711.

It is an arithmetic number, because the mean of its divisors is an integer number (9308376).

Almost surely, 2^278132480 is an apocalyptic number.

278132480 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 278132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335101536).

278132480 is an abundant number, since it is smaller than the sum of its proper divisors (392070592).

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

278132480 is a wasteful number, since it uses less digits than its factorization.

278132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 278132480 is about 16677.3043385315. The cubic root of 278132480 is about 652.7555445185.

The spelling of 278132480 in words is "two hundred seventy-eight million, one hundred thirty-two thousand, four hundred eighty".