1464340401 has 24 divisors (see below), whose sum is σ = 2135664960. Its totient is φ = 966794400.

The previous prime is 1464340399. The next prime is 1464340417. The reversal of 1464340401 is 1040434641.

1464340401 is a `hidden beast` number, since 14 + 643 + 4 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 1464340401 - 2¹ = 1464340399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1464340481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778380 + ... + 780258.

It is an arithmetic number, because the mean of its divisors is an integer number (88986040).

Almost surely, 2^1464340401 is an apocalyptic number.

It is an amenable number.

1464340401 is a deficient number, since it is larger than the sum of its proper divisors (671324559).

1464340401 is a wasteful number, since it uses less digits than its factorization.

1464340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1464340401 is about 38266.7009422030. The cubic root of 1464340401 is about 1135.5702726546.

The spelling of 1464340401 in words is "one billion, four hundred sixty-four million, three hundred forty thousand, four hundred one".