978912480 has 384 divisors, whose sum is σ = 3859688448. Its totient is φ = 203046912.

The previous prime is 978912469. The next prime is 978912481. The reversal of 978912480 is 84219879.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978912481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3188487 + ... + 3188793.

It is an arithmetic number, because the mean of its divisors is an integer number (10051272).

Almost surely, 2^978912480 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 978912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929844224).

978912480 is an abundant number, since it is smaller than the sum of its proper divisors (2880775968).

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

978912480 is a wasteful number, since it uses less digits than its factorization.

978912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 978912480 is about 31287.5770874000. The cubic root of 978912480 is about 992.9208302794.

The spelling of 978912480 in words is "nine hundred seventy-eight million, nine hundred twelve thousand, four hundred eighty".