978405120 has 432 divisors, whose sum is σ = 4224310272. Its totient is φ = 203120640.

The previous prime is 978405107. The next prime is 978405223. The reversal of 978405120 is 21504879.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 886489 + ... + 887591.

It is an arithmetic number, because the mean of its divisors is an integer number (9778496).

Almost surely, 2^978405120 is an apocalyptic number.

978405120 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 978405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112155136).

978405120 is an abundant number, since it is smaller than the sum of its proper divisors (3245905152).

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

978405120 is a wasteful number, since it uses less digits than its factorization.

978405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 978405120 is about 31279.4680261669. The cubic root of 978405120 is about 992.7492605084.

Adding to 978405120 its reverse (21504879), we get a palindrome (999909999).

The spelling of 978405120 in words is "nine hundred seventy-eight million, four hundred five thousand, one hundred twenty".