46900800 has 126 divisors (see below), whose sum is σ = 166747698. Its totient is φ = 12503040.

The previous prime is 46900771. The next prime is 46900829. The reversal of 46900800 is 800964.

It is an interprime number because it is at equal distance from previous prime (46900771) and next prime (46900829).

It can be written as a sum of positive squares in 3 ways, for example, as 8856576 + 38044224 = 2976^2 + 6168^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12772 + ... + 16028.

Almost surely, 2^46900800 is an apocalyptic number.

46900800 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 46900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83373849).

46900800 is an abundant number, since it is smaller than the sum of its proper divisors (119846898).

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

46900800 is a wasteful number, since it uses less digits than its factorization.

46900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 46900800 is about 6848.4158752225. The cubic root of 46900800 is about 360.6285316243.

The spelling of 46900800 in words is "forty-six million, nine hundred thousand, eight hundred".