978164460 has 432 divisors, whose sum is σ = 3921372000. Its totient is φ = 195084288.

The previous prime is 978164459. The next prime is 978164489. The reversal of 978164460 is 64461879.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 2178316 + ... + 2178764.

It is an arithmetic number, because the mean of its divisors is an integer number (9077250).

Almost surely, 2^978164460 is an apocalyptic number.

978164460 is a gapful number since it is divisible by the number (90) 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 978164460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960686000).

978164460 is an abundant number, since it is smaller than the sum of its proper divisors (2943207540).

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

978164460 is a wasteful number, since it uses less digits than its factorization.

978164460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 978164460 is about 31275.6208571469. The cubic root of 978164460 is about 992.6678577494.

The spelling of 978164460 in words is "nine hundred seventy-eight million, one hundred sixty-four thousand, four hundred sixty".