46746000 has 360 divisors, whose sum is σ = 193507704. Its totient is φ = 10483200.

The previous prime is 46745983. The next prime is 46746001. The reversal of 46746000 is 64764.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 46294416 = 672^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46746001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881974 + ... + 882026.

Almost surely, 2^46746000 is an apocalyptic number.

46746000 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 46746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96753852).

46746000 is an abundant number, since it is smaller than the sum of its proper divisors (146761704).

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

46746000 is a wasteful number, since it uses less digits than its factorization.

46746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46746000 is about 6837.1046503619. The cubic root of 46746000 is about 360.2313327972.

The spelling of 46746000 in words is "forty-six million, seven hundred forty-six thousand".