46455560 has 64 divisors (see below), whose sum is σ = 112849200. Its totient is φ = 17145856.

The previous prime is 46455557. The next prime is 46455569. The reversal of 46455560 is 6555464.

It can be written as a sum of positive squares in 8 ways, for example, as 38514436 + 7941124 = 6206^2 + 2818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46455560.

It is not an unprimeable number, because it can be changed into a prime (46455569) by changing a digit.

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, 35396 + ... + 36684.

Almost surely, 2^46455560 is an apocalyptic number.

46455560 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 46455560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424600).

46455560 is an abundant number, since it is smaller than the sum of its proper divisors (66393640).

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

46455560 is a wasteful number, since it uses less digits than its factorization.

46455560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 46455560 is about 6815.8315706889. The cubic root of 46455560 is about 359.4837249859.

The spelling of 46455560 in words is "forty-six million, four hundred fifty-five thousand, five hundred sixty".