274406900 has 54 divisors (see below), whose sum is σ = 603652770. Its totient is φ = 108272000.

The previous prime is 274406887. The next prime is 274406933. The reversal of 274406900 is 9604472.

It can be written as a sum of positive squares in 9 ways, for example, as 12096484 + 262310416 = 3478^2 + 16196^2 .

It is a super-2 number, since 2×274406900² = 150598293535220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1019966 + ... + 1020234.

It is an arithmetic number, because the mean of its divisors is an integer number (11178755).

Almost surely, 2^274406900 is an apocalyptic number.

274406900 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 274406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301826385).

274406900 is an abundant number, since it is smaller than the sum of its proper divisors (329245870).

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

274406900 is a wasteful number, since it uses less digits than its factorization.

274406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 274406900 is about 16565.2316615253. The cubic root of 274406900 is about 649.8278834225.

The spelling of 274406900 in words is "two hundred seventy-four million, four hundred six thousand, nine hundred".