6274400 has 144 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 2112000.

The previous prime is 6274397. The next prime is 6274409. The reversal of 6274400 is 44726.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6274409) 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, 202385 + ... + 202415.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^6274400 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 6274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

6274400 is an abundant number, since it is smaller than the sum of its proper divisors (11724448).

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

6274400 is a wasteful number, since it uses less digits than its factorization.

6274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 6274400 is about 2504.8752463945. The cubic root of 6274400 is about 184.4409713168.

The spelling of 6274400 in words is "six million, two hundred seventy-four thousand, four hundred".