46460064 has 96 divisors (see below), whose sum is σ = 142442496. Its totient is φ = 12983040.

The previous prime is 46460039. The next prime is 46460077. The reversal of 46460064 is 46006464.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30849 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (1483776).

Almost surely, 2^46460064 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 46460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71221248).

46460064 is an abundant number, since it is smaller than the sum of its proper divisors (95982432).

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

46460064 is a wasteful number, since it uses less digits than its factorization.

46460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 46460064 is about 6816.1619699065. The cubic root of 46460064 is about 359.4953422704.

The spelling of 46460064 in words is "forty-six million, four hundred sixty thousand, sixty-four".