46872200 has 24 divisors (see below), whose sum is σ = 108978330. Its totient is φ = 18748800.

The previous prime is 46872191. The next prime is 46872209. The reversal of 46872200 is 227864.

It is an interprime number because it is at equal distance from previous prime (46872191) and next prime (46872209).

It can be written as a sum of positive squares in 3 ways, for example, as 40018276 + 6853924 = 6326^2 + 2618^2 .

It is not an unprimeable number, because it can be changed into a prime (46872209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116981 + ... + 117380.

Almost surely, 2^46872200 is an apocalyptic number.

46872200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46872200 is an abundant number, since it is smaller than the sum of its proper divisors (62106130).

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

46872200 is a wasteful number, since it uses less digits than its factorization.

46872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234377 (or 234368 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 46872200 is about 6846.3274826727. The cubic root of 46872200 is about 360.5552132360. Note that the first 3 decimals are identical.

The spelling of 46872200 in words is "forty-six million, eight hundred seventy-two thousand, two hundred".