460045729 has 16 divisors (see below), whose sum is σ = 551980800. Its totient is φ = 377832960.

The previous prime is 460045723. The next prime is 460045741. The reversal of 460045729 is 927540064.

It is a cyclic number.

It is not a de Polignac number, because 460045729 - 2¹⁷ = 459914657 is a prime.

It is a super-2 number, since 2×460045729² = 423284145542282882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460045723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27504 + ... + 40945.

It is an arithmetic number, because the mean of its divisors is an integer number (34498800).

Almost surely, 2^460045729 is an apocalyptic number.

It is an amenable number.

460045729 is a deficient number, since it is larger than the sum of its proper divisors (91935071).

460045729 is a wasteful number, since it uses less digits than its factorization.

460045729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68520.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 460045729 is about 21448.6766258434. The cubic root of 460045729 is about 771.9698419720.

The spelling of 460045729 in words is "four hundred sixty million, forty-five thousand, seven hundred twenty-nine".