1904057540 has 96 divisors (see below), whose sum is σ = 5053757184. Its totient is φ = 585308160.

The previous prime is 1904057539. The next prime is 1904057543. The reversal of 1904057540 is 457504091.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1904057540.

It is not an unprimeable number, because it can be changed into a prime (1904057543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103952 + ... + 120888.

It is an arithmetic number, because the mean of its divisors is an integer number (52643304).

Almost surely, 2^1904057540 is an apocalyptic number.

1904057540 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 1904057540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526878592).

1904057540 is an abundant number, since it is smaller than the sum of its proper divisors (3149699644).

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

1904057540 is a wasteful number, since it uses less digits than its factorization.

1904057540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17037 (or 17035 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 1904057540 is about 43635.5077889555. The cubic root of 1904057540 is about 1239.4433722659.

The spelling of 1904057540 in words is "one billion, nine hundred four million, fifty-seven thousand, five hundred forty".