46350720 has 192 divisors, whose sum is σ = 172645200. Its totient is φ = 11390976.

The previous prime is 46350691. The next prime is 46350757. The reversal of 46350720 is 2705364.

It is a happy number.

46350720 is a `hidden beast` number, since 4 + 635 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74571 + ... + 75189.

Almost surely, 2^46350720 is an apocalyptic number.

46350720 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 46350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86322600).

46350720 is an abundant number, since it is smaller than the sum of its proper divisors (126294480).

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

46350720 is a wasteful number, since it uses less digits than its factorization.

46350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 46350720 is about 6808.1363088587. The cubic root of 46350720 is about 359.2130960184.

The spelling of 46350720 in words is "forty-six million, three hundred fifty thousand, seven hundred twenty".