46414720 has 128 divisors (see below), whose sum is σ = 127785600. Its totient is φ = 15943680.

The previous prime is 46414699. The next prime is 46414723. The reversal of 46414720 is 2741464.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46414723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133587 + ... + 133933.

It is an arithmetic number, because the mean of its divisors is an integer number (998325).

Almost surely, 2^46414720 is an apocalyptic number.

46414720 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 46414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63892800).

46414720 is an abundant number, since it is smaller than the sum of its proper divisors (81370880).

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

46414720 is a wasteful number, since it uses less digits than its factorization.

46414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 46414720 is about 6812.8349458944. The cubic root of 46414720 is about 359.3783510211.

The spelling of 46414720 in words is "forty-six million, four hundred fourteen thousand, seven hundred twenty".