46419216 has 80 divisors (see below), whose sum is σ = 124575360. Its totient is φ = 14883840.

The previous prime is 46419211. The next prime is 46419259. The reversal of 46419216 is 61291464.

It is a super-2 number, since 2×46419216² = 4309487228109312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

Its product of digits (10368) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (46419211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202590 + ... + 202818.

It is an arithmetic number, because the mean of its divisors is an integer number (1557192).

Almost surely, 2^46419216 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 46419216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62287680).

46419216 is an abundant number, since it is smaller than the sum of its proper divisors (78156144).

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

46419216 is a wasteful number, since it uses less digits than its factorization.

46419216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 46419216 is about 6813.1649033324. The cubic root of 46419216 is about 359.3899544728.

The spelling of 46419216 in words is "forty-six million, four hundred nineteen thousand, two hundred sixteen".