46584048 has 80 divisors (see below), whose sum is σ = 144792320. Its totient is φ = 12607488.

The previous prime is 46584047. The next prime is 46584049. The reversal of 46584048 is 84048564.

It is an interprime number because it is at equal distance from previous prime (46584047) and next prime (46584049).

It is a junction number, because it is equal to n+sod(n) for n = 46583997 and 46584015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46584047) 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, 2736 + ... + 10032.

It is an arithmetic number, because the mean of its divisors is an integer number (1809904).

Almost surely, 2^46584048 is an apocalyptic number.

46584048 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 46584048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72396160).

46584048 is an abundant number, since it is smaller than the sum of its proper divisors (98208272).

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

46584048 is a wasteful number, since it uses less digits than its factorization.

46584048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 46584048 is about 6825.2507646240. The cubic root of 46584048 is about 359.8148430571.

The spelling of 46584048 in words is "forty-six million, five hundred eighty-four thousand, forty-eight".