46466464 has 48 divisors (see below), whose sum is σ = 100862496. Its totient is φ = 20896000.

The previous prime is 46466461. The next prime is 46466467.

It is a happy number.

46466464 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46466461) and next prime (46466467).

It is not an unprimeable number, because it can be changed into a prime (46466461) 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, 34899 + ... + 36205.

It is an arithmetic number, because the mean of its divisors is an integer number (2101302).

Almost surely, 2^46466464 is an apocalyptic number.

46466464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50431248).

46466464 is an abundant number, since it is smaller than the sum of its proper divisors (54396032).

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

46466464 is a wasteful number, since it uses less digits than its factorization.

46466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The square root of 46466464 is about 6816.6314261518. The cubic root of 46466464 is about 359.5118486658.

The spelling of 46466464 in words is "forty-six million, four hundred sixty-six thousand, four hundred sixty-four".