46228320 has 288 divisors, whose sum is σ = 173365920. Its totient is φ = 11612160.

The previous prime is 46228309. The next prime is 46228327. The reversal of 46228320 is 2382264.

46228320 is a `hidden beast` number, since 4 + 622 + 8 + 32 + 0 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46228327) 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, 1127500 + ... + 1127540.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^46228320 is an apocalyptic number.

46228320 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 46228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

46228320 is an abundant number, since it is smaller than the sum of its proper divisors (127137600).

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

46228320 is a wasteful number, since it uses less digits than its factorization.

46228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46228320 is about 6799.1411222301. The cubic root of 46228320 is about 358.8966216668.

It can be divided in two parts, 462 and 28320, that added together give a palindrome (28782).

The spelling of 46228320 in words is "forty-six million, two hundred twenty-eight thousand, three hundred twenty".