46314720 has 192 divisors, whose sum is σ = 165473280. Its totient is φ = 12096000.

The previous prime is 46314691. The next prime is 46314721. The reversal of 46314720 is 2741364.

46314720 is a `hidden beast` number, since 4 + 631 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46314721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306645 + ... + 306795.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^46314720 is an apocalyptic number.

46314720 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 46314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

46314720 is an abundant number, since it is smaller than the sum of its proper divisors (119158560).

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

46314720 is a wasteful number, since it uses less digits than its factorization.

46314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46314720 is about 6805.4918999291. The cubic root of 46314720 is about 359.1200732214.

The spelling of 46314720 in words is "forty-six million, three hundred fourteen thousand, seven hundred twenty".