389778480 has 400 divisors, whose sum is σ = 1668684864. Its totient is φ = 82114560.

The previous prime is 389778479. The next prime is 389778481. The reversal of 389778480 is 84877983.

389778480 is a `hidden beast` number, since 3 + 8 + 97 + 78 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (389778479) and next prime (389778481).

It is a super-2 number, since 2×389778480² = 303854526942220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389778481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589350 + ... + 590010.

Almost surely, 2^389778480 is an apocalyptic number.

389778480 is a gapful number since it is divisible by the number (30) 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 389778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834342432).

389778480 is an abundant number, since it is smaller than the sum of its proper divisors (1278906384).

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

389778480 is a wasteful number, since it uses less digits than its factorization.

389778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 389778480 is about 19742.8083108761. The cubic root of 389778480 is about 730.4760015559.

The spelling of 389778480 in words is "three hundred eighty-nine million, seven hundred seventy-eight thousand, four hundred eighty".