1864872400 has 30 divisors (see below), whose sum is σ = 4480356902. Its totient is φ = 745948800.

The previous prime is 1864872397. The next prime is 1864872431. The reversal of 1864872400 is 42784681.

It can be written as a sum of positive squares in 3 ways, for example, as 646583184 + 1218289216 = 25428^2 + 34904^2 .

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2330691 + ... + 2331490.

Almost surely, 2^1864872400 is an apocalyptic number.

1864872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1864872400 is an abundant number, since it is smaller than the sum of its proper divisors (2615484502).

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

1864872400 is a wasteful number, since it uses less digits than its factorization.

1864872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662199 (or 4662188 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 1864872400 is about 43184.1683953738. The cubic root of 1864872400 is about 1230.8818669752.

The spelling of 1864872400 in words is "one billion, eight hundred sixty-four million, eight hundred seventy-two thousand, four hundred".