46019600 has 60 divisors (see below), whose sum is σ = 120624720. Its totient is φ = 16732800.

The previous prime is 46019591. The next prime is 46019609. The reversal of 46019600 is 691064.

It is an interprime number because it is at equal distance from previous prime (46019591) and next prime (46019609).

It is a self number, because there is not a number n which added to its sum of digits gives 46019600.

It is not an unprimeable number, because it can be changed into a prime (46019609) 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 11 ways as a sum of consecutive naturals, for example, 830 + ... + 9629.

It is an arithmetic number, because the mean of its divisors is an integer number (2010412).

Almost surely, 2^46019600 is an apocalyptic number.

46019600 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 46019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60312360).

46019600 is an abundant number, since it is smaller than the sum of its proper divisors (74605120).

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

46019600 is a wasteful number, since it uses less digits than its factorization.

46019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 46019600 is about 6783.7747604118. The cubic root of 46019600 is about 358.3556695409.

The spelling of 46019600 in words is "forty-six million, nineteen thousand, six hundred".