46872000 has 448 divisors, whose sum is σ = 202874880. Its totient is φ = 10368000.

The previous prime is 46871989. The next prime is 46872011. The reversal of 46872000 is 27864.

It is an interprime number because it is at equal distance from previous prime (46871989) and next prime (46872011).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511985 + ... + 1512015.

Almost surely, 2^46872000 is an apocalyptic number.

46872000 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 46872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101437440).

46872000 is an abundant number, since it is smaller than the sum of its proper divisors (156002880).

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

46872000 is a wasteful number, since it uses less digits than its factorization.

46872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 46872000 is about 6846.3128762860. The cubic root of 46872000 is about 360.5547004150.

Adding to 46872000 its reverse (27864), we get a palindrome (46899864).

The spelling of 46872000 in words is "forty-six million, eight hundred seventy-two thousand".