274979040 has 96 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 62851584.

The previous prime is 274979011. The next prime is 274979057. The reversal of 274979040 is 40979472.

274979040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×274979040³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 274978983 and 274979001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37560 + ... + 44279.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^274979040 is an apocalyptic number.

274979040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

274979040 is an abundant number, since it is smaller than the sum of its proper divisors (714957600).

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

274979040 is a wasteful number, since it uses less digits than its factorization.

274979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81864 (or 81856 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 274979040 is about 16582.4919719564. The cubic root of 274979040 is about 650.2792015534.

The spelling of 274979040 in words is "two hundred seventy-four million, nine hundred seventy-nine thousand, forty".