276480000 has 300 divisors, whose sum is σ = 1023641080. Its totient is φ = 73728000.

The previous prime is 276479953. The next prime is 276480007. The reversal of 276480000 is 84672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (276480007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55295998 + ... + 55296002.

Almost surely, 2^276480000 is an apocalyptic number.

276480000 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 276480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511820540).

276480000 is an abundant number, since it is smaller than the sum of its proper divisors (747161080).

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

276480000 is an frugal number, since it uses more digits than its factorization.

276480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 276480000 is about 16627.6877526612. The cubic root of 276480000 is about 651.4602279828.

Multiplying 276480000 by its sum of digits (27), we get a square (7464960000 = 86400²).

276480000 divided by its sum of digits (27) gives a square (10240000 = 3200²).

Multiplying 276480000 by its reverse (84672), we get a square (23410114560000 = 4838400²).

The spelling of 276480000 in words is "two hundred seventy-six million, four hundred eighty thousand".