46016784 has 180 divisors, whose sum is σ = 150077200. Its totient is φ = 13115520.

The previous prime is 46016743. The next prime is 46016809. The reversal of 46016784 is 48761064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330987 + ... + 331125.

Almost surely, 2^46016784 is an apocalyptic number.

46016784 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 46016784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75038600).

46016784 is an abundant number, since it is smaller than the sum of its proper divisors (104060416).

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

46016784 is a wasteful number, since it uses less digits than its factorization.

46016784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 46016784 is about 6783.5672031756. The cubic root of 46016784 is about 358.3483599732.

It can be divided in two parts, 460167 and 84, that multiplied together give a triangular number (38654028 = T₈₇₉₂).

The spelling of 46016784 in words is "forty-six million, sixteen thousand, seven hundred eighty-four".