46888240 has 80 divisors (see below), whose sum is σ = 125974080. Its totient is φ = 15897600.

The previous prime is 46888229. The next prime is 46888249. The reversal of 46888240 is 4288864.

46888240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46888193 and 46888202.

It is not an unprimeable number, because it can be changed into a prime (46888249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56146 + ... + 56974.

It is an arithmetic number, because the mean of its divisors is an integer number (1574676).

Almost surely, 2^46888240 is an apocalyptic number.

46888240 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 46888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62987040).

46888240 is an abundant number, since it is smaller than the sum of its proper divisors (79085840).

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

46888240 is a wasteful number, since it uses less digits than its factorization.

46888240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 46888240 is about 6847.4988134355. The cubic root of 46888240 is about 360.5963367311.

The spelling of 46888240 in words is "forty-six million, eight hundred eighty-eight thousand, two hundred forty".