46033680 has 320 divisors, whose sum is σ = 185131008. Its totient is φ = 9185280.

The previous prime is 46033657. The next prime is 46033681. The reversal of 46033680 is 8633064.

46033680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46033681) 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 63 ways as a sum of consecutive naturals, for example, 868534 + ... + 868586.

Almost surely, 2^46033680 is an apocalyptic number.

46033680 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 46033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92565504).

46033680 is an abundant number, since it is smaller than the sum of its proper divisors (139097328).

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

46033680 is a wasteful number, since it uses less digits than its factorization.

46033680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 46033680 is about 6784.8124513504. The cubic root of 46033680 is about 358.3922129074.

The spelling of 46033680 in words is "forty-six million, thirty-three thousand, six hundred eighty".