46779516 has 108 divisors (see below), whose sum is σ = 143659152. Its totient is φ = 12773376.

The previous prime is 46779487. The next prime is 46779517. The reversal of 46779516 is 61597764.

It is a happy number.

46779516 is a `hidden beast` number, since 4 + 67 + 79 + 516 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46779517) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39996 + ... + 41148.

Almost surely, 2^46779516 is an apocalyptic number.

46779516 is a gapful number since it is divisible by the number (46) 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 46779516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71829576).

46779516 is an abundant number, since it is smaller than the sum of its proper divisors (96879636).

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

46779516 is a wasteful number, since it uses less digits than its factorization.

46779516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1188 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 46779516 is about 6839.5552486986. Note that the first 3 decimals coincide. The cubic root of 46779516 is about 360.3174052527.

The spelling of 46779516 in words is "forty-six million, seven hundred seventy-nine thousand, five hundred sixteen".