46846800 has 540 divisors, whose sum is σ = 219477024. Its totient is φ = 8985600.

The previous prime is 46846771. The next prime is 46846817. The reversal of 46846800 is 864864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3603594 + ... + 3603606.

Almost surely, 2^46846800 is an apocalyptic number.

46846800 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 46846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109738512).

46846800 is an abundant number, since it is smaller than the sum of its proper divisors (172630224).

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

46846800 is a wasteful number, since it uses less digits than its factorization.

46846800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46846800 is about 6844.4722221659. The cubic root of 46846800 is about 360.4900732940.

It can be divided in two parts, 468 and 46800, that multiplied together give a square (21902400 = 4680²).

The spelling of 46846800 in words is "forty-six million, eight hundred forty-six thousand, eight hundred".