278490240 has 192 divisors, whose sum is σ = 1099200960. Its totient is φ = 63645696.

The previous prime is 278490217. The next prime is 278490241. The reversal of 278490240 is 42094872.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 278490195 and 278490204.

It is not an unprimeable number, because it can be changed into a prime (278490241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36867 + ... + 43773.

It is an arithmetic number, because the mean of its divisors is an integer number (5725005).

Almost surely, 2^278490240 is an apocalyptic number.

278490240 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 278490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549600480).

278490240 is an abundant number, since it is smaller than the sum of its proper divisors (820710720).

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

278490240 is a wasteful number, since it uses less digits than its factorization.

278490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 278490240 is about 16688.0268456160. The cubic root of 278490240 is about 653.0353030060.

The spelling of 278490240 in words is "two hundred seventy-eight million, four hundred ninety thousand, two hundred forty".