466689040 has 40 divisors (see below), whose sum is σ = 1102851288. Its totient is φ = 183613440.

The previous prime is 466689017. The next prime is 466689043. The reversal of 466689040 is 40986664.

It can be written as a sum of positive squares in 4 ways, for example, as 14531344 + 452157696 = 3812^2 + 21264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×466689040² = 435597320112243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (466689043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42937 + ... + 52696.

Almost surely, 2^466689040 is an apocalyptic number.

466689040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466689040 is an abundant number, since it is smaller than the sum of its proper divisors (636162248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466689040 is a wasteful number, since it uses less digits than its factorization.

466689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95707 (or 95701 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 466689040 is about 21602.9868305288. The cubic root of 466689040 is about 775.6679860005.

The spelling of 466689040 in words is "four hundred sixty-six million, six hundred eighty-nine thousand, forty".