46104480 has 144 divisors (see below), whose sum is σ = 159390504. Its totient is φ = 12134400.

The previous prime is 46104467. The next prime is 46104497. The reversal of 46104480 is 8440164.

46104480 is a `hidden beast` number, since 4 + 610 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37601424 + 8503056 = 6132^2 + 2916^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145282 + ... + 145598.

Almost surely, 2^46104480 is an apocalyptic number.

46104480 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 46104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79695252).

46104480 is an abundant number, since it is smaller than the sum of its proper divisors (113286024).

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

46104480 is a wasteful number, since it uses less digits than its factorization.

46104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 46104480 is about 6790.0279822693. The cubic root of 46104480 is about 358.5758550527.

The spelling of 46104480 in words is "forty-six million, one hundred four thousand, four hundred eighty".