1864078400 has 42 divisors (see below), whose sum is σ = 4586801850. Its totient is φ = 745630720.

The previous prime is 1864078393. The next prime is 1864078439. The reversal of 1864078400 is 48704681.

It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 1863476224 = 776^2 + 43168^2 .

It is a super-3 number, since 3×1864078400³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 580925 + ... + 584124.

Almost surely, 2^1864078400 is an apocalyptic number.

1864078400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1864078400 is an abundant number, since it is smaller than the sum of its proper divisors (2722723450).

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

1864078400 is a wasteful number, since it uses less digits than its factorization.

1864078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165071 (or 1165056 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1864078400 is about 43174.9742327659. The cubic root of 1864078400 is about 1230.7071527984.

The spelling of 1864078400 in words is "one billion, eight hundred sixty-four million, seventy-eight thousand, four hundred".