46978200 has 72 divisors (see below), whose sum is σ = 157774500. Its totient is φ = 12527040.

The previous prime is 46978177. The next prime is 46978207. The reversal of 46978200 is 287964.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46978207) 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, 11250 + ... + 14849.

Almost surely, 2^46978200 is an apocalyptic number.

46978200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46978200 is an abundant number, since it is smaller than the sum of its proper divisors (110796300).

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

46978200 is a wasteful number, since it uses less digits than its factorization.

46978200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26121 (or 26109 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 46978200 is about 6854.0644875869. The cubic root of 46978200 is about 360.8268033506.

The spelling of 46978200 in words is "forty-six million, nine hundred seventy-eight thousand, two hundred".