46510416 has 160 divisors (see below), whose sum is σ = 144752640. Its totient is φ = 14256000.

The previous prime is 46510411. The next prime is 46510427. The reversal of 46510416 is 61401564.

46510416 is a `hidden beast` number, since 4 + 651 + 0 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 46510416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46510411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 307941 + ... + 308091.

It is an arithmetic number, because the mean of its divisors is an integer number (904704).

Almost surely, 2^46510416 is an apocalyptic number.

46510416 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 46510416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72376320).

46510416 is an abundant number, since it is smaller than the sum of its proper divisors (98242224).

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

46510416 is a wasteful number, since it uses less digits than its factorization.

46510416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46510416 is about 6819.8545439034. The cubic root of 46510416 is about 359.6251654105.

The spelling of 46510416 in words is "forty-six million, five hundred ten thousand, four hundred sixteen".