6974400 has 84 divisors (see below), whose sum is σ = 22897592. Its totient is φ = 1858560.

The previous prime is 6974399. The next prime is 6974417. The reversal of 6974400 is 44796.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4074 + ... + 5526.

Almost surely, 2^6974400 is an apocalyptic number.

6974400 is a gapful number since it is divisible by the number (60) 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 6974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448796).

6974400 is an abundant number, since it is smaller than the sum of its proper divisors (15923192).

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

6974400 is a wasteful number, since it uses less digits than its factorization.

6974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6974400 is about 2640.9089344391. The cubic root of 6974400 is about 191.0596380016.

The spelling of 6974400 in words is "six million, nine hundred seventy-four thousand, four hundred".