46320288 has 144 divisors (see below), whose sum is σ = 145363680. Its totient is φ = 12870144.

The previous prime is 46320277. The next prime is 46320299. The reversal of 46320288 is 88202364.

It is an interprime number because it is at equal distance from previous prime (46320277) and next prime (46320299).

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, 202158 + ... + 202386.

It is an arithmetic number, because the mean of its divisors is an integer number (1009470).

Almost surely, 2^46320288 is an apocalyptic number.

46320288 is a gapful number since it is divisible by the number (48) 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 46320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72681840).

46320288 is an abundant number, since it is smaller than the sum of its proper divisors (99043392).

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

46320288 is a wasteful number, since it uses less digits than its factorization.

46320288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46320288 is about 6805.9009690121. The cubic root of 46320288 is about 359.1344638978.

The spelling of 46320288 in words is "forty-six million, three hundred twenty thousand, two hundred eighty-eight".