46830784 has 224 divisors, whose sum is σ = 135184896. Its totient is φ = 15482880.

The previous prime is 46830769. The next prime is 46830787. The reversal of 46830784 is 48703864.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46830787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089067 + ... + 1089109.

It is an arithmetic number, because the mean of its divisors is an integer number (603504).

Almost surely, 2^46830784 is an apocalyptic number.

46830784 is a gapful number since it is divisible by the number (44) 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 46830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

46830784 is an abundant number, since it is smaller than the sum of its proper divisors (88354112).

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

46830784 is a wasteful number, since it uses less digits than its factorization.

46830784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 46830784 is about 6843.3021268975. The cubic root of 46830784 is about 360.4489871217.

Subtracting 46830784 from its reverse (48703864), we obtain a triangular number (1873080 = T₁₉₃₅).

The spelling of 46830784 in words is "forty-six million, eight hundred thirty thousand, seven hundred eighty-four".