978074496 has 144 divisors (see below), whose sum is σ = 3274212240. Its totient is φ = 279433728.

The previous prime is 978074483. The next prime is 978074543. The reversal of 978074496 is 694470879.

It is a happy number.

978074496 is a `hidden beast` number, since 9 + 7 + 80 + 74 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 17 ways as a sum of consecutive naturals, for example, 47785 + ... + 65111.

It is an arithmetic number, because the mean of its divisors is an integer number (22737585).

Almost surely, 2^978074496 is an apocalyptic number.

978074496 is a gapful number since it is divisible by the number (96) 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 978074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637106120).

978074496 is an abundant number, since it is smaller than the sum of its proper divisors (2296137744).

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

978074496 is a wasteful number, since it uses less digits than its factorization.

978074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17361 (or 17339 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 978074496 is about 31274.1825792458. The cubic root of 978074496 is about 992.6374241796.

The spelling of 978074496 in words is "nine hundred seventy-eight million, seventy-four thousand, four hundred ninety-six".