819480480 has 384 divisors, whose sum is σ = 3233115648. Its totient is φ = 169869312.

The previous prime is 819480451. The next prime is 819480503. The reversal of 819480480 is 84084918.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3188512 + ... + 3188768.

It is an arithmetic number, because the mean of its divisors is an integer number (8419572).

Almost surely, 2^819480480 is an apocalyptic number.

819480480 is a gapful number since it is divisible by the number (80) 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 819480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616557824).

819480480 is an abundant number, since it is smaller than the sum of its proper divisors (2413635168).

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

819480480 is a wasteful number, since it uses less digits than its factorization.

819480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 819480480 is about 28626.5694766243. The cubic root of 819480480 is about 935.7924516075.

The spelling of 819480480 in words is "eight hundred nineteen million, four hundred eighty thousand, four hundred eighty".