46268100 has 108 divisors (see below), whose sum is σ = 146748420. Its totient is φ = 12192000.

The previous prime is 46268087. The next prime is 46268107. The reversal of 46268100 is 186264.

It can be written as a sum of positive squares in 6 ways, for example, as 4588164 + 41679936 = 2142^2 + 6456^2 .

It is a super-2 number, since 2×46268100² = 4281474155220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46268107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90646 + ... + 91154.

Almost surely, 2^46268100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73374210).

46268100 is an abundant number, since it is smaller than the sum of its proper divisors (100480320).

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

46268100 is a wasteful number, since it uses less digits than its factorization.

46268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46268100 is about 6802.0658626626. The cubic root of 46268100 is about 358.9995370400. Note that the first 3 decimals are identical.

The spelling of 46268100 in words is "forty-six million, two hundred sixty-eight thousand, one hundred".