1804978560 has 512 divisors, whose sum is σ = 7438003200. Its totient is φ = 361267200.

The previous prime is 1804978559. The next prime is 1804978561. The reversal of 1804978560 is 658794081.

It is an interprime number because it is at equal distance from previous prime (1804978559) and next prime (1804978561).

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 (1804978561) 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, 4287150 + ... + 4287570.

It is an arithmetic number, because the mean of its divisors is an integer number (14527350).

Almost surely, 2^1804978560 is an apocalyptic number.

1804978560 is a gapful number since it is divisible by the number (10) 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 1804978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719001600).

1804978560 is an abundant number, since it is smaller than the sum of its proper divisors (5633024640).

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

1804978560 is a wasteful number, since it uses less digits than its factorization.

1804978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1804978560 is about 42485.0392491286. The cubic root of 1804978560 is about 1217.5608707077.

The spelling of 1804978560 in words is "one billion, eight hundred four million, nine hundred seventy-eight thousand, five hundred sixty".