46657000 has 128 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 16588800.

The previous prime is 46656997. The next prime is 46657007. The reversal of 46657000 is 75664.

It can be written as a sum of positive squares in 16 ways, for example, as 1954404 + 44702596 = 1398^2 + 6686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46657000.

It is not an unprimeable number, because it can be changed into a prime (46657007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480952 + ... + 481048.

Almost surely, 2^46657000 is an apocalyptic number.

46657000 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 46657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999120).

46657000 is an abundant number, since it is smaller than the sum of its proper divisors (75341240).

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

46657000 is a wasteful number, since it uses less digits than its factorization.

46657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 46657000 is about 6830.5929464432. The cubic root of 46657000 is about 360.0025719981.

The spelling of 46657000 in words is "forty-six million, six hundred fifty-seven thousand".