46553280 has 112 divisors (see below), whose sum is σ = 150107904. Its totient is φ = 12221440.

The previous prime is 46553263. The next prime is 46553281. The reversal of 46553280 is 8235564.

It is not an unprimeable number, because it can be changed into a prime (46553281) 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, 67819 + ... + 68501.

Almost surely, 2^46553280 is an apocalyptic number.

46553280 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 46553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75053952).

46553280 is an abundant number, since it is smaller than the sum of its proper divisors (103554624).

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

46553280 is a wasteful number, since it uses less digits than its factorization.

46553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 46553280 is about 6822.9964092032. The cubic root of 46553280 is about 359.7356083418.

The spelling of 46553280 in words is "forty-six million, five hundred fifty-three thousand, two hundred eighty".