7406400 has 84 divisors (see below), whose sum is σ = 24314912. Its totient is φ = 1973760.

The previous prime is 7406387. The next prime is 7406411. The reversal of 7406400 is 46047.

It is a zygodrome in base 5.

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 11 ways as a sum of consecutive naturals, for example, 4029 + ... + 5571.

Almost surely, 2^7406400 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 7406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157456).

7406400 is an abundant number, since it is smaller than the sum of its proper divisors (16908512).

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

7406400 is a wasteful number, since it uses less digits than its factorization.

7406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 7406400 is about 2721.4701909078. The cubic root of 7406400 is about 194.9256784488.

It can be divided in two parts, 740 and 6400, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 7406400 in words is "seven million, four hundred six thousand, four hundred".