274732416 has 288 divisors, whose sum is σ = 955356480. Its totient is φ = 75479040.

The previous prime is 274732387. The next prime is 274732433. The reversal of 274732416 is 614237472.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 35 ways as a sum of consecutive naturals, for example, 1749810 + ... + 1749966.

It is an arithmetic number, because the mean of its divisors is an integer number (3317210).

Almost surely, 2^274732416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477678240).

274732416 is an abundant number, since it is smaller than the sum of its proper divisors (680624064).

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

274732416 is a wasteful number, since it uses less digits than its factorization.

274732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 274732416 is about 16575.0540270613. The cubic root of 274732416 is about 650.0847353043.

Adding to 274732416 its reverse (614237472), we get a palindrome (888969888).

The spelling of 274732416 in words is "two hundred seventy-four million, seven hundred thirty-two thousand, four hundred sixteen".