46846900 has 54 divisors (see below), whose sum is σ = 108056018. Its totient is φ = 17625600.

The previous prime is 46846879. The next prime is 46846901. The reversal of 46846900 is 964864.

It can be written as a sum of positive squares in 9 ways, for example, as 443556 + 46403344 = 666^2 + 6812^2 .

It is a super-2 number, since 2×46846900² = 4389264079220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46846900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46846901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28090 + ... + 29710.

Almost surely, 2^46846900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54028009).

46846900 is an abundant number, since it is smaller than the sum of its proper divisors (61209118).

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

46846900 is a wasteful number, since it uses less digits than its factorization.

46846900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 46846900 is about 6844.4795273271. The cubic root of 46846900 is about 360.4903297967.

The spelling of 46846900 in words is "forty-six million, eight hundred forty-six thousand, nine hundred".