46455552 has 288 divisors, whose sum is σ = 164828160. Its totient is φ = 12718080.

The previous prime is 46455529. The next prime is 46455557. The reversal of 46455552 is 25555464.

46455552 is a `hidden beast` number, since 4 + 645 + 5 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (120000) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (46455557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988393 + ... + 988439.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^46455552 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 46455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82414080).

46455552 is an abundant number, since it is smaller than the sum of its proper divisors (118372608).

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

46455552 is a wasteful number, since it uses less digits than its factorization.

46455552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 46455552 is about 6815.8309838199. The cubic root of 46455552 is about 359.4837043506.

The spelling of 46455552 in words is "forty-six million, four hundred fifty-five thousand, five hundred fifty-two".