46414080 has 288 divisors, whose sum is σ = 176601600. Its totient is φ = 11501568.

The previous prime is 46414079. The next prime is 46414103. The reversal of 46414080 is 8041464.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587481 + ... + 587559.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^46414080 is an apocalyptic number.

46414080 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 46414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

46414080 is an abundant number, since it is smaller than the sum of its proper divisors (130187520).

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

46414080 is a wasteful number, since it uses less digits than its factorization.

46414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

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

The square root of 46414080 is about 6812.7879755648. The cubic root of 46414080 is about 359.3766992232.

The spelling of 46414080 in words is "forty-six million, four hundred fourteen thousand, eighty".