46463120 has 80 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 16427520.

The previous prime is 46463107. The next prime is 46463143. The reversal of 46463120 is 2136464.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 46463120.

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 15 ways as a sum of consecutive naturals, for example, 31847 + ... + 33273.

Almost surely, 2^46463120 is an apocalyptic number.

46463120 is a gapful number since it is divisible by the number (40) 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 46463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

46463120 is an abundant number, since it is smaller than the sum of its proper divisors (74654128).

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

46463120 is a wasteful number, since it uses less digits than its factorization.

46463120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 46463120 is about 6816.3861392970. The cubic root of 46463120 is about 359.5032242633.

Adding to 46463120 its reverse (2136464), we get a palindrome (48599584).

The spelling of 46463120 in words is "forty-six million, four hundred sixty-three thousand, one hundred twenty".