276342480 has 240 divisors, whose sum is σ = 996525504. Its totient is φ = 68382720.

The previous prime is 276342461. The next prime is 276342503. The reversal of 276342480 is 84243672.

276342480 is a `hidden beast` number, since 276 + 342 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309575 + ... + 1309785.

Almost surely, 2^276342480 is an apocalyptic number.

276342480 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 276342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498262752).

276342480 is an abundant number, since it is smaller than the sum of its proper divisors (720183024).

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

276342480 is a wasteful number, since it uses less digits than its factorization.

276342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 276342480 is about 16623.5519670135. The cubic root of 276342480 is about 651.3521988687.

The spelling of 276342480 in words is "two hundred seventy-six million, three hundred forty-two thousand, four hundred eighty".