273416640 has 448 divisors, whose sum is σ = 1088501760. Its totient is φ = 56770560.

The previous prime is 273416629. The next prime is 273416677. The reversal of 273416640 is 46614372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4482210 + ... + 4482270.

Almost surely, 2^273416640 is an apocalyptic number.

273416640 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 273416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544250880).

273416640 is an abundant number, since it is smaller than the sum of its proper divisors (815085120).

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

273416640 is a wasteful number, since it uses less digits than its factorization.

273416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 273416640 is about 16535.3149350111. The cubic root of 273416640 is about 649.0452571037.

The spelling of 273416640 in words is "two hundred seventy-three million, four hundred sixteen thousand, six hundred forty".