1904953680 has 480 divisors, whose sum is σ = 7936992000. Its totient is φ = 411319296.

The previous prime is 1904953669. The next prime is 1904953681. The reversal of 1904953680 is 863594091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904953681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5458146 + ... + 5458494.

It is an arithmetic number, because the mean of its divisors is an integer number (16535400).

Almost surely, 2^1904953680 is an apocalyptic number.

1904953680 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 1904953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968496000).

1904953680 is an abundant number, since it is smaller than the sum of its proper divisors (6032038320).

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

1904953680 is a wasteful number, since it uses less digits than its factorization.

1904953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1904953680 is about 43645.7750532626. The cubic root of 1904953680 is about 1239.6377887606.

The spelling of 1904953680 in words is "one billion, nine hundred four million, nine hundred fifty-three thousand, six hundred eighty".