46772000 has 96 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 16992000.

The previous prime is 46771999. The next prime is 46772051. The reversal of 46772000 is 27764.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43469 + ... + 44531.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^46772000 is an apocalyptic number.

46772000 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 46772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

46772000 is an abundant number, since it is smaller than the sum of its proper divisors (78711904).

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

46772000 is a wasteful number, since it uses less digits than its factorization.

46772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 46772000 is about 6839.0057756958. The cubic root of 46772000 is about 360.2981069864.

Adding to 46772000 its reverse (27764), we get a palindrome (46799764).

The spelling of 46772000 in words is "forty-six million, seven hundred seventy-two thousand".