1904337540 has 336 divisors, whose sum is σ = 7015905792. Its totient is φ = 424942848.

The previous prime is 1904337521. The next prime is 1904337559. The reversal of 1904337540 is 457334091.

1904337540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1904337521) and next prime (1904337559).

It is a super-3 number, since 3×1904337540³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1904337495 and 1904337504.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4796622 + ... + 4797018.

It is an arithmetic number, because the mean of its divisors is an integer number (20880672).

Almost surely, 2^1904337540 is an apocalyptic number.

1904337540 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 1904337540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507952896).

1904337540 is an abundant number, since it is smaller than the sum of its proper divisors (5111568252).

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

1904337540 is a wasteful number, since it uses less digits than its factorization.

1904337540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1904337540 is about 43638.7160672722. The cubic root of 1904337540 is about 1239.5041244801.

The spelling of 1904337540 in words is "one billion, nine hundred four million, three hundred thirty-seven thousand, five hundred forty".