46960416 has 108 divisors (see below), whose sum is σ = 138291426. Its totient is φ = 15114240.

The previous prime is 46960399. The next prime is 46960447. The reversal of 46960416 is 61406964.

46960416 is a `hidden beast` number, since 46 + 9 + 604 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14470416 + 32490000 = 3804^2 + 5700^2 .

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 484080 + ... + 484176.

Almost surely, 2^46960416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69145713).

46960416 is an abundant number, since it is smaller than the sum of its proper divisors (91331010).

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

46960416 is a wasteful number, since it uses less digits than its factorization.

46960416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 46960416 is about 6852.7670323746. The cubic root of 46960416 is about 360.7812662449.

The spelling of 46960416 in words is "forty-six million, nine hundred sixty thousand, four hundred sixteen".