46001000 has 64 divisors (see below), whose sum is σ = 108697680. Its totient is φ = 18220800.

The previous prime is 46000987. The next prime is 46001017. The reversal of 46001000 is 10064.

It can be written as a sum of positive squares in 8 ways, for example, as 5373124 + 40627876 = 2318^2 + 6374^2 .

It is a congruent number.

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, 156854 + ... + 157146.

Almost surely, 2^46001000 is an apocalyptic number.

46001000 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 46001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54348840).

46001000 is an abundant number, since it is smaller than the sum of its proper divisors (62696680).

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

46001000 is a wasteful number, since it uses less digits than its factorization.

46001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 46001000 is about 6782.4037037027. The cubic root of 46001000 is about 358.3073834943.

Adding to 46001000 its reverse (10064), we get a palindrome (46011064).

The spelling of 46001000 in words is "forty-six million, one thousand".