1464600400 has 30 divisors (see below), whose sum is σ = 3518703422. Its totient is φ = 585840000.

The previous prime is 1464600383. The next prime is 1464600433. The reversal of 1464600400 is 40064641.

It can be written as a sum of positive squares in 3 ways, for example, as 320266816 + 1144333584 = 17896^2 + 33828^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1830351 + ... + 1831150.

Almost surely, 2^1464600400 is an apocalyptic number.

1464600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464600400 is an abundant number, since it is smaller than the sum of its proper divisors (2054103022).

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

1464600400 is a wasteful number, since it uses less digits than its factorization.

1464600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661519 (or 3661508 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1464600400 is about 38270.0979878547. The cubic root of 1464600400 is about 1135.6374768973.

The spelling of 1464600400 in words is "one billion, four hundred sixty-four million, six hundred thousand, four hundred".