46048640 has 128 divisors (see below), whose sum is σ = 124554240. Its totient is φ = 16128000.

The previous prime is 46048637. The next prime is 46048643. The reversal of 46048640 is 4684064.

It is an interprime number because it is at equal distance from previous prime (46048637) and next prime (46048643).

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 46048597 and 46048606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46048643) 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, 218135 + ... + 218345.

It is an arithmetic number, because the mean of its divisors is an integer number (973080).

Almost surely, 2^46048640 is an apocalyptic number.

46048640 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 46048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62277120).

46048640 is an abundant number, since it is smaller than the sum of its proper divisors (78505600).

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

46048640 is a wasteful number, since it uses less digits than its factorization.

46048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 46048640 is about 6785.9148241044. The cubic root of 46048640 is about 358.4310320707.

The spelling of 46048640 in words is "forty-six million, forty-eight thousand, six hundred forty".