7404474000 has 960 divisors, whose sum is σ = 31613976576. Its totient is φ = 1457280000.

The previous prime is 7404473971. The next prime is 7404474013. The reversal of 7404474000 is 4744047.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157541977 + ... + 157542023.

Almost surely, 2^7404474000 is an apocalyptic number.

7404474000 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 7404474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15806988288).

7404474000 is an abundant number, since it is smaller than the sum of its proper divisors (24209502576).

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

7404474000 is a wasteful number, since it uses less digits than its factorization.

7404474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 7404474000 is about 86049.2533378413. The cubic root of 7404474000 is about 1949.0878047752.

It can be divided in two parts, 740447 and 4000, that added together give a palindrome (744447).

The spelling of 7404474000 in words is "seven billion, four hundred four million, four hundred seventy-four thousand".