46215200 has 72 divisors (see below), whose sum is σ = 115656660. Its totient is φ = 18022400.

The previous prime is 46215179. The next prime is 46215217. The reversal of 46215200 is 251264.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29584 + 46185616 = 172^2 + 6796^2 .

It is a super-2 number, since 2×46215200² = 4271689422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 32096 + ... + 33504.

Almost surely, 2^46215200 is an apocalyptic number.

46215200 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 46215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57828330).

46215200 is an abundant number, since it is smaller than the sum of its proper divisors (69441460).

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

46215200 is a wasteful number, since it uses less digits than its factorization.

46215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 46215200 is about 6798.1762260183. The cubic root of 46215200 is about 358.8626657915.

Adding to 46215200 its reverse (251264), we get a palindrome (46466464).

The spelling of 46215200 in words is "forty-six million, two hundred fifteen thousand, two hundred".