1641870400 has 63 divisors (see below), whose sum is σ = 4044019471. Its totient is φ = 656099840.

The previous prime is 1641870397. The next prime is 1641870407. The reversal of 1641870400 is 40781461.

The square root of 1641870400 is 40520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 979940416 + 661929984 = 31304^2 + 25728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1641870407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1620294 + ... + 1621306.

Almost surely, 2^1641870400 is an apocalyptic number.

1641870400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1641870400 is the 40520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641870400

1641870400 is an abundant number, since it is smaller than the sum of its proper divisors (2402149071).

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

1641870400 is an frugal number, since it uses more digits than its factorization.

1641870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The cubic root of 1641870400 is about 1179.7218534300.

The spelling of 1641870400 in words is "one billion, six hundred forty-one million, eight hundred seventy thousand, four hundred".