46419984 has 120 divisors (see below), whose sum is σ = 141704472. Its totient is φ = 14100480.

The previous prime is 46419977. The next prime is 46420001. The reversal of 46419984 is 48991464.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 45968400 = 672^2 + 6780^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256374 + ... + 256554.

Almost surely, 2^46419984 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 46419984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70852236).

46419984 is an abundant number, since it is smaller than the sum of its proper divisors (95284488).

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

46419984 is a wasteful number, since it uses less digits than its factorization.

46419984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 46419984 is about 6813.2212645708. The cubic root of 46419984 is about 359.3919364822.

The spelling of 46419984 in words is "forty-six million, four hundred nineteen thousand, nine hundred eighty-four".