978474000 has 160 divisors (see below), whose sum is σ = 3605412096. Its totient is φ = 223641600.

The previous prime is 978473983. The next prime is 978474001. The reversal of 978474000 is 474879.

It is a super-2 number, since 2×978474000² = 1914822737352000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 978474000.

It is not an unprimeable number, because it can be changed into a prime (978474001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30352 + ... + 53648.

Almost surely, 2^978474000 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 978474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802706048).

978474000 is an abundant number, since it is smaller than the sum of its proper divisors (2626938096).

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

978474000 is a wasteful number, since it uses less digits than its factorization.

978474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23330 (or 23314 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 978474000 is about 31280.5690485323. The cubic root of 978474000 is about 992.7725565723.

The spelling of 978474000 in words is "nine hundred seventy-eight million, four hundred seventy-four thousand".