7400400 has 120 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 1689600.

The previous prime is 7400399. The next prime is 7400453. The reversal of 7400400 is 40047.

7400400 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

7400400 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 7400400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7960 + ... + 8840.

Almost surely, 2^7400400 is an apocalyptic number.

7400400 is a gapful number since it is divisible by the number (70) 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 7400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

7400400 is an abundant number, since it is smaller than the sum of its proper divisors (19722864).

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

7400400 is a wasteful number, since it uses less digits than its factorization.

7400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 7400400 is about 2720.3676222158. The cubic root of 7400400 is about 194.8730271367.

Adding to 7400400 its reverse (40047), we get a palindrome (7440447).

The spelling of 7400400 in words is "seven million, four hundred thousand, four hundred".