278480400 has 360 divisors, whose sum is σ = 1047935904. Its totient is φ = 62668800.

The previous prime is 278480357. The next prime is 278480429. The reversal of 278480400 is 4084872.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3814764 + ... + 3814836.

Almost surely, 2^278480400 is an apocalyptic number.

278480400 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 278480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523967952).

278480400 is an abundant number, since it is smaller than the sum of its proper divisors (769455504).

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

278480400 is a wasteful number, since it uses less digits than its factorization.

278480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 278480400 is about 16687.7320208589. The cubic root of 278480400 is about 653.0276116017.

The spelling of 278480400 in words is "two hundred seventy-eight million, four hundred eighty thousand, four hundred".