41746464 has 72 divisors (see below), whose sum is σ = 121513392. Its totient is φ = 13587840.

The previous prime is 41746459. The next prime is 41746469. The reversal of 41746464 is 46464714.

41746464 is a `hidden beast` number, since 4 + 1 + 7 + 4 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41746459) and next prime (41746469).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41746469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10699 + ... + 14069.

It is an arithmetic number, because the mean of its divisors is an integer number (1687686).

Almost surely, 2^41746464 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 41746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60756696).

41746464 is an abundant number, since it is smaller than the sum of its proper divisors (79766928).

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

41746464 is a wasteful number, since it uses less digits than its factorization.

41746464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3419 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 41746464 is about 6461.1503619712. The cubic root of 41746464 is about 346.9018095665.

The spelling of 41746464 in words is "forty-one million, seven hundred forty-six thousand, four hundred sixty-four".