7421400 has 288 divisors, whose sum is σ = 30950400. Its totient is φ = 1555200.

The previous prime is 7421383. The next prime is 7421437. The reversal of 7421400 is 41247.

7421400 = 66² + 67² + ... + 282².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239385 + ... + 239415.

Almost surely, 2^7421400 is an apocalyptic number.

7421400 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 7421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475200).

7421400 is an abundant number, since it is smaller than the sum of its proper divisors (23529000).

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

7421400 is a wasteful number, since it uses less digits than its factorization.

7421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7421400 is about 2724.2246603392. The cubic root of 7421400 is about 195.0571824410.

Adding to 7421400 its reverse (41247), we get a palindrome (7462647).

The spelling of 7421400 in words is "seven million, four hundred twenty-one thousand, four hundred".