46277664 has 48 divisors (see below), whose sum is σ = 122145408. Its totient is φ = 15341312.

The previous prime is 46277611. The next prime is 46277669. The reversal of 46277664 is 46677264.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (46277669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17689 + ... + 20135.

It is an arithmetic number, because the mean of its divisors is an integer number (2544696).

Almost surely, 2^46277664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46277664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61072704).

46277664 is an abundant number, since it is smaller than the sum of its proper divisors (75867744).

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

46277664 is a wasteful number, since it uses less digits than its factorization.

46277664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2649 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 46277664 is about 6802.7688480500. The cubic root of 46277664 is about 359.0242713964.

The spelling of 46277664 in words is "forty-six million, two hundred seventy-seven thousand, six hundred sixty-four".