1464400201 has 6 divisors (see below), whose sum is σ = 1609630106. Its totient is φ = 1331272800.

The previous prime is 1464400199. The next prime is 1464400219. The reversal of 1464400201 is 1020044641.

It can be written as a sum of positive squares in only one way, i.e., 1313700025 + 150700176 = 36245^2 + 12276^2 .

It is not a de Polignac number, because 1464400201 - 2¹ = 1464400199 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1464400241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6051120 + ... + 6051361.

Almost surely, 2^1464400201 is an apocalyptic number.

1464400201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1464400201 is a deficient number, since it is larger than the sum of its proper divisors (145229905).

1464400201 is a wasteful number, since it uses less digits than its factorization.

1464400201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102503 (or 12102492 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1464400201 is about 38267.4822924111. The cubic root of 1464400201 is about 1135.5857303942.

Adding to 1464400201 its reverse (1020044641), we get a palindrome (2484444842).

The spelling of 1464400201 in words is "one billion, four hundred sixty-four million, four hundred thousand, two hundred one".