804390480 has 320 divisors, whose sum is σ = 2939811840. Its totient is φ = 201830400.

The previous prime is 804390473. The next prime is 804390481. The reversal of 804390480 is 84093408.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804390481) 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, 2745214 + ... + 2745506.

It is an arithmetic number, because the mean of its divisors is an integer number (9186912).

Almost surely, 2^804390480 is an apocalyptic number.

804390480 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 804390480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469905920).

804390480 is an abundant number, since it is smaller than the sum of its proper divisors (2135421360).

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

804390480 is a wasteful number, since it uses less digits than its factorization.

804390480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 804390480 is about 28361.7785055874. The cubic root of 804390480 is about 930.0129030468.

The spelling of 804390480 in words is "eight hundred four million, three hundred ninety thousand, four hundred eighty".