46064000 has 64 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 18419200.

The previous prime is 46063981. The next prime is 46064003. The reversal of 46064000 is 46064.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46064003) 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, 14561 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^46064000 is an apocalyptic number.

46064000 is a gapful number since it is divisible by the number (40) 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 46064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

46064000 is an abundant number, since it is smaller than the sum of its proper divisors (68502400).

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

46064000 is an equidigital number, since it uses as much as digits as its factorization.

46064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46064000 is about 6787.0464857698. The cubic root of 46064000 is about 358.4708804326.

46064000 divided by its reverse (46064) gives a cube (1000 = 10³).

The spelling of 46064000 in words is "forty-six million, sixty-four thousand", and thus it is an eban number.