461664305 has 16 divisors (see below), whose sum is σ = 571874688. Its totient is φ = 357552000.

The previous prime is 461664293. The next prime is 461664317. The reversal of 461664305 is 503466164.

It is an interprime number because it is at equal distance from previous prime (461664293) and next prime (461664317).

It is not a de Polignac number, because 461664305 - 2⁶ = 461664241 is a prime.

It is a super-2 number, since 2×461664305² = 426267861022266050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18260 + ... + 35450.

It is an arithmetic number, because the mean of its divisors is an integer number (35742168).

Almost surely, 2^461664305 is an apocalyptic number.

It is an amenable number.

461664305 is a deficient number, since it is larger than the sum of its proper divisors (110210383).

461664305 is a wasteful number, since it uses less digits than its factorization.

461664305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17368.

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 461664305 is about 21486.3748687395. The cubic root of 461664305 is about 772.8741211759.

It can be divided in two parts, 4616 and 64305, that added together give a cube (68921 = 41³).

The spelling of 461664305 in words is "four hundred sixty-one million, six hundred sixty-four thousand, three hundred five".