46624608 has 144 divisors (see below), whose sum is σ = 143292240. Its totient is φ = 14327808.

The previous prime is 46624607. The next prime is 46624637. The reversal of 46624608 is 80642664.

It is a happy number.

46624608 is a `hidden beast` number, since 46 + 6 + 2 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46624601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435691 + ... + 435797.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^46624608 is an apocalyptic number.

46624608 is a gapful number since it is divisible by the number (48) 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 46624608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71646120).

46624608 is an abundant number, since it is smaller than the sum of its proper divisors (96667632).

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

46624608 is a wasteful number, since it uses less digits than its factorization.

46624608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 46624608 is about 6828.2214375341. The cubic root of 46624608 is about 359.9192411440.

The spelling of 46624608 in words is "forty-six million, six hundred twenty-four thousand, six hundred eight".