46288000 has 128 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 16768000.

The previous prime is 46287977. The next prime is 46288003. The reversal of 46288000 is 88264.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46288000.

It is not an unprimeable number, because it can be changed into a prime (46288003) 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, 175869 + ... + 176131.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 2^46288000 is an apocalyptic number.

46288000 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 46288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011520).

46288000 is an abundant number, since it is smaller than the sum of its proper divisors (79735040).

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

46288000 is a wasteful number, since it uses less digits than its factorization.

46288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 46288000 is about 6803.5284963025. The cubic root of 46288000 is about 359.0509984631.

The spelling of 46288000 in words is "forty-six million, two hundred eighty-eight thousand".