46580320 has 48 divisors (see below), whose sum is σ = 110548368. Its totient is φ = 18547200.

The previous prime is 46580311. The next prime is 46580327. The reversal of 46580320 is 2308564.

It is a super-2 number, since 2×46580320² = 4339452422604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46580327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43795 + ... + 44845.

It is an arithmetic number, because the mean of its divisors is an integer number (2303091).

Almost surely, 2^46580320 is an apocalyptic number.

46580320 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 46580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55274184).

46580320 is an abundant number, since it is smaller than the sum of its proper divisors (63968048).

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

46580320 is a wasteful number, since it uses less digits than its factorization.

46580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 46580320 is about 6824.9776556411. The cubic root of 46580320 is about 359.8052444529.

Adding to 46580320 its reverse (2308564), we get a palindrome (48888884).

The spelling of 46580320 in words is "forty-six million, five hundred eighty thousand, three hundred twenty".