46416744 has 96 divisors (see below), whose sum is σ = 138715200. Its totient is φ = 13904640.

The previous prime is 46416743. The next prime is 46416751. The reversal of 46416744 is 44761464.

46416744 is a `hidden beast` number, since 4 + 641 + 6 + 7 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46416699 and 46416708.

It is not an unprimeable number, because it can be changed into a prime (46416743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81292 + ... + 81860.

It is an arithmetic number, because the mean of its divisors is an integer number (1444950).

Almost surely, 2^46416744 is an apocalyptic number.

46416744 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 46416744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69357600).

46416744 is an abundant number, since it is smaller than the sum of its proper divisors (92298456).

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

46416744 is a wasteful number, since it uses less digits than its factorization.

46416744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 46416744 is about 6812.9834874305. The cubic root of 46416744 is about 359.3835747318.

The spelling of 46416744 in words is "forty-six million, four hundred sixteen thousand, seven hundred forty-four".