6374400 has 132 divisors (see below), whose sum is σ = 21321552. Its totient is φ = 1679360.

The previous prime is 6374399. The next prime is 6374477. The reversal of 6374400 is 44736.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76759 + ... + 76841.

Almost surely, 2^6374400 is an apocalyptic number.

6374400 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 6374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660776).

6374400 is an abundant number, since it is smaller than the sum of its proper divisors (14947152).

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

6374400 is a wasteful number, since it uses less digits than its factorization.

6374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6374400 is about 2524.7574140895. The cubic root of 6374400 is about 185.4156711361.

The spelling of 6374400 in words is "six million, three hundred seventy-four thousand, four hundred".