74478000 has 80 divisors (see below), whose sum is σ = 240136416. Its totient is φ = 19859200.

The previous prime is 74477999. The next prime is 74478013. The reversal of 74478000 is 87447.

It is a tau number, because it is divible by the number of its divisors (80).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207 + ... + 12206.

Almost surely, 2^74478000 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 74478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120068208).

74478000 is an abundant number, since it is smaller than the sum of its proper divisors (165658416).

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

74478000 is a wasteful number, since it uses less digits than its factorization.

74478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12439 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 74478000 is about 8630.0637309350. The cubic root of 74478000 is about 420.7356720955.

The spelling of 74478000 in words is "seventy-four million, four hundred seventy-eight thousand".