273414960 has 480 divisors, whose sum is σ = 1176353280. Its totient is φ = 57148416.

The previous prime is 273414931. The next prime is 273414983. The reversal of 273414960 is 69414372.

273414960 = 431² + 432² + ... + 965².

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2555227 + ... + 2555333.

It is an arithmetic number, because the mean of its divisors is an integer number (2450736).

Almost surely, 2^273414960 is an apocalyptic number.

273414960 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 273414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588176640).

273414960 is an abundant number, since it is smaller than the sum of its proper divisors (902938320).

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

273414960 is a wasteful number, since it uses less digits than its factorization.

273414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 273414960 is about 16535.2641345701. The cubic root of 273414960 is about 649.0439277549.

The spelling of 273414960 in words is "two hundred seventy-three million, four hundred fourteen thousand, nine hundred sixty".