46836000 has 144 divisors (see below), whose sum is σ = 166348728. Its totient is φ = 12480000.

The previous prime is 46835977. The next prime is 46836001. The reversal of 46836000 is 63864.

46836000 = 43³ + 44³ + ... + 117³.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 44997264 = 1356^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×46836000² = 4387221792000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46836001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35350 + ... + 36650.

Almost surely, 2^46836000 is an apocalyptic number.

46836000 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 46836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174364).

46836000 is an abundant number, since it is smaller than the sum of its proper divisors (119512728).

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

46836000 is a wasteful number, since it uses less digits than its factorization.

46836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46836000 is about 6843.6832188523. The cubic root of 46836000 is about 360.4623688616.

Adding to 46836000 its reverse (63864), we get a palindrome (46899864).

The spelling of 46836000 in words is "forty-six million, eight hundred thirty-six thousand".