1864800480 has 48 divisors (see below), whose sum is σ = 5874123024. Its totient is φ = 497280000.

The previous prime is 1864800437. The next prime is 1864800521. The reversal of 1864800480 is 840084681.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1942021 + ... + 1942980.

It is an arithmetic number, because the mean of its divisors is an integer number (122377563).

Almost surely, 2^1864800480 is an apocalyptic number.

1864800480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1864800480 is an abundant number, since it is smaller than the sum of its proper divisors (4009322544).

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

1864800480 is a wasteful number, since it uses less digits than its factorization.

1864800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885019 (or 3885011 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1864800480 is about 43183.3356747716. The cubic root of 1864800480 is about 1230.8660435223.

The spelling of 1864800480 in words is "one billion, eight hundred sixty-four million, eight hundred thousand, four hundred eighty".