278878464 has 108 divisors (see below), whose sum is σ = 834041936. Its totient is φ = 92938752.

The previous prime is 278878451. The next prime is 278878507. The reversal of 278878464 is 464878872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 278878464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59967 + ... + 64449.

Almost surely, 2^278878464 is an apocalyptic number.

278878464 is a gapful number since it is divisible by the number (24) 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 278878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417020968).

278878464 is an abundant number, since it is smaller than the sum of its proper divisors (555163472).

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

278878464 is an frugal number, since it uses more digits than its factorization.

278878464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4488 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 278878464 is about 16699.6546072067. The cubic root of 278878464 is about 653.3386125725.

The spelling of 278878464 in words is "two hundred seventy-eight million, eight hundred seventy-eight thousand, four hundred sixty-four".