46126080 has 528 divisors, whose sum is σ = 214591104. Its totient is φ = 8847360.

The previous prime is 46126061. The next prime is 46126081. The reversal of 46126080 is 8062164.

46126080 is a `hidden beast` number, since 46 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46126081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548154 + ... + 3548166.

Almost surely, 2^46126080 is an apocalyptic number.

46126080 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 46126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107295552).

46126080 is an abundant number, since it is smaller than the sum of its proper divisors (168465024).

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

46126080 is a wasteful number, since it uses less digits than its factorization.

46126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46126080 is about 6791.6183638364. The cubic root of 46126080 is about 358.6318440386.

The spelling of 46126080 in words is "forty-six million, one hundred twenty-six thousand, eighty".