460145401 has 9 divisors (see below), whose sum is σ = 486068751. Its totient is φ = 435541104.

The previous prime is 460145327. The next prime is 460145423. The reversal of 460145401 is 104541064.

The square root of 460145401 is 21451.

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

It can be written as a sum of positive squares in only one way, i.e., 39075001 + 421070400 = 6251^2 + 20520^2 .

It is not a de Polignac number, because 460145401 - 2²⁷ = 325927673 is a prime.

It is a super-2 number, since 2×460145401² = 423467580122901602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460145201) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 407005 + ... + 408133.

It is an arithmetic number, because the mean of its divisors is an integer number (54007639).

Almost surely, 2^460145401 is an apocalyptic number.

460145401 is the 21451-st square number.

460145401 is the 10726-th centered octagonal number.

It is an amenable number.

460145401 is a deficient number, since it is larger than the sum of its proper divisors (25923350).

460145401 is an frugal number, since it uses more digits than its factorization.

460145401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 460145401 is about 772.0255887650.

Multiplying 460145401 by its sum of digits (25), we get a square (11503635025 = 107255²).

Adding to 460145401 its reverse (104541064), we get a palindrome (564686465).

It can be divided in two parts, 46014 and 5401, that added together give a palindrome (51415).

The spelling of 460145401 in words is "four hundred sixty million, one hundred forty-five thousand, four hundred one".