274885920 has 384 divisors, whose sum is σ = 1077753600. Its totient is φ = 65028096.

The previous prime is 274885909. The next prime is 274885921. The reversal of 274885920 is 29588472.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (274885921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395262 + ... + 1395458.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^274885920 is an apocalyptic number.

274885920 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 274885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538876800).

274885920 is an abundant number, since it is smaller than the sum of its proper divisors (802867680).

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

274885920 is a wasteful number, since it uses less digits than its factorization.

274885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 274885920 is about 16579.6839535620. The cubic root of 274885920 is about 650.2057888841.

The spelling of 274885920 in words is "two hundred seventy-four million, eight hundred eighty-five thousand, nine hundred twenty".