4274400 has 144 divisors (see below), whose sum is σ = 15092784. Its totient is φ = 1044480.

The previous prime is 4274393. The next prime is 4274401. The reversal of 4274400 is 44724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31132 + ... + 31268.

It is an arithmetic number, because the mean of its divisors is an integer number (104811).

Almost surely, 2^4274400 is an apocalyptic number.

4274400 is a gapful number since it is divisible by the number (40) 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 4274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546392).

4274400 is an abundant number, since it is smaller than the sum of its proper divisors (10818384).

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

4274400 is a wasteful number, since it uses less digits than its factorization.

4274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 4274400 is about 2067.4622124721. The cubic root of 4274400 is about 162.2899851041.

The spelling of 4274400 in words is "four million, two hundred seventy-four thousand, four hundred".