278640960 has 224 divisors, whose sum is σ = 967800960. Its totient is φ = 67510272.

The previous prime is 278640959. The next prime is 278640983. The reversal of 278640960 is 69046872.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035706 + ... + 1035974.

It is an arithmetic number, because the mean of its divisors is an integer number (4320540).

Almost surely, 2^278640960 is an apocalyptic number.

278640960 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 278640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483900480).

278640960 is an abundant number, since it is smaller than the sum of its proper divisors (689160000).

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

278640960 is a wasteful number, since it uses less digits than its factorization.

278640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 278640960 is about 16692.5420472737. The cubic root of 278640960 is about 653.1530901741.

The spelling of 278640960 in words is "two hundred seventy-eight million, six hundred forty thousand, nine hundred sixty".