46973600 has 72 divisors (see below), whose sum is σ = 116430048. Its totient is φ = 18502400.

The previous prime is 46973581. The next prime is 46973603. The reversal of 46973600 is 637964.

It is not an unprimeable number, because it can be changed into a prime (46973603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56387 + ... + 57213.

It is an arithmetic number, because the mean of its divisors is an integer number (1617084).

Almost surely, 2^46973600 is an apocalyptic number.

46973600 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 46973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58215024).

46973600 is an abundant number, since it is smaller than the sum of its proper divisors (69456448).

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

46973600 is a wasteful number, since it uses less digits than its factorization.

46973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 46973600 is about 6853.7289120595. The cubic root of 46973600 is about 360.8150258490.

The spelling of 46973600 in words is "forty-six million, nine hundred seventy-three thousand, six hundred".