46068480 has 288 divisors, whose sum is σ = 172677120. Its totient is φ = 11612160.

The previous prime is 46068469. The next prime is 46068553. The reversal of 46068480 is 8486064.

46068480 is a `hidden beast` number, since 4 + 606 + 8 + 48 + 0 = 666.

46068480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071339 + ... + 1071381.

Almost surely, 2^46068480 is an apocalyptic number.

46068480 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 46068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

46068480 is an abundant number, since it is smaller than the sum of its proper divisors (126608640).

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

46068480 is a wasteful number, since it uses less digits than its factorization.

46068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46068480 is about 6787.3765182138. The cubic root of 46068480 is about 358.4825012029.

The spelling of 46068480 in words is "forty-six million, sixty-eight thousand, four hundred eighty".