1904374480 has 40 divisors (see below), whose sum is σ = 4454214912. Its totient is φ = 757183104.

The previous prime is 1904374469. The next prime is 1904374481. The reversal of 1904374480 is 844734091.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1904374480³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904374481) 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 7 ways as a sum of consecutive naturals, for example, 57912 + ... + 84631.

Almost surely, 2^1904374480 is an apocalyptic number.

1904374480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1904374480 is an abundant number, since it is smaller than the sum of its proper divisors (2549840432).

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

1904374480 is a wasteful number, since it uses less digits than its factorization.

1904374480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142723 (or 142717 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1904374480 is about 43639.1393132358. The cubic root of 1904374480 is about 1239.5121389882.

The spelling of 1904374480 in words is "one billion, nine hundred four million, three hundred seventy-four thousand, four hundred eighty".